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Finding the Third Proportional to 137,598.75 and 207,856.13

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Solution

The third proportional to 137,598.75 and 207,856.13 is: 313,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,598.75 : 207,856.13 = 207,856.13 : x
  2. Step 2: Convert to fraction form
    137,598.75/207,856.13 = 207,856.13/x
  3. Step 3: Cross multiply
    137,598.75x = 207,856.13 × 207,856.13
  4. Step 4: Simplify right side
    137,598.75x = 43,204,168,700.02
  5. Step 5: Solve for x
    x = 43,204,168,700.02/137,598.75
  6. Step 6: Final answer
    x = 313,986.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.