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Finding the Third Proportional to 137,627.75 and 201,132.25

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Solution

The third proportional to 137,627.75 and 201,132.25 is: 293,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,627.75 : 201,132.25 = 201,132.25 : x
  2. Step 2: Convert to fraction form
    137,627.75/201,132.25 = 201,132.25/x
  3. Step 3: Cross multiply
    137,627.75x = 201,132.25 × 201,132.25
  4. Step 4: Simplify right side
    137,627.75x = 40,454,181,990.06
  5. Step 5: Solve for x
    x = 40,454,181,990.06/137,627.75
  6. Step 6: Final answer
    x = 293,939.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.