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Finding the Third Proportional to 103,712 and 157,427

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Solution

The third proportional to 103,712 and 157,427 is: 238,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,712 : 157,427 = 157,427 : x
  2. Step 2: Convert to fraction form
    103,712/157,427 = 157,427/x
  3. Step 3: Cross multiply
    103,712x = 157,427 × 157,427
  4. Step 4: Simplify right side
    103,712x = 24,783,260,329
  5. Step 5: Solve for x
    x = 24,783,260,329/103,712
  6. Step 6: Final answer
    x = 238,962.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.