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Finding the Third Proportional to 137,627.25 and 201,129.75

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Solution

The third proportional to 137,627.25 and 201,129.75 is: 293,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,627.25 : 201,129.75 = 201,129.75 : x
  2. Step 2: Convert to fraction form
    137,627.25/201,129.75 = 201,129.75/x
  3. Step 3: Cross multiply
    137,627.25x = 201,129.75 × 201,129.75
  4. Step 4: Simplify right side
    137,627.25x = 40,453,176,335.06
  5. Step 5: Solve for x
    x = 40,453,176,335.06/137,627.25
  6. Step 6: Final answer
    x = 293,932.90

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