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Finding the Third Proportional to 107,352 and 157,746

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Solution

The third proportional to 107,352 and 157,746 is: 231,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,352 : 157,746 = 157,746 : x
  2. Step 2: Convert to fraction form
    107,352/157,746 = 157,746/x
  3. Step 3: Cross multiply
    107,352x = 157,746 × 157,746
  4. Step 4: Simplify right side
    107,352x = 24,883,800,516
  5. Step 5: Solve for x
    x = 24,883,800,516/107,352
  6. Step 6: Final answer
    x = 231,796.34

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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.