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Finding the Third Proportional to 107,340.75 and 157,729.50

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Solution

The third proportional to 107,340.75 and 157,729.50 is: 231,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,340.75 : 157,729.50 = 157,729.50 : x
  2. Step 2: Convert to fraction form
    107,340.75/157,729.50 = 157,729.50/x
  3. Step 3: Cross multiply
    107,340.75x = 157,729.50 × 157,729.50
  4. Step 4: Simplify right side
    107,340.75x = 24,878,595,170.25
  5. Step 5: Solve for x
    x = 24,878,595,170.25/107,340.75
  6. Step 6: Final answer
    x = 231,772.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.