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Finding the Third Proportional to 107,352 and 157,747.50

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Solution

The third proportional to 107,352 and 157,747.50 is: 231,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,352 : 157,747.50 = 157,747.50 : x
  2. Step 2: Convert to fraction form
    107,352/157,747.50 = 157,747.50/x
  3. Step 3: Cross multiply
    107,352x = 157,747.50 × 157,747.50
  4. Step 4: Simplify right side
    107,352x = 24,884,273,756.25
  5. Step 5: Solve for x
    x = 24,884,273,756.25/107,352
  6. Step 6: Final answer
    x = 231,800.75

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