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Finding the Third Proportional to 89,507 and 125,463

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Solution

The third proportional to 89,507 and 125,463 is: 175,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,507 : 125,463 = 125,463 : x
  2. Step 2: Convert to fraction form
    89,507/125,463 = 125,463/x
  3. Step 3: Cross multiply
    89,507x = 125,463 × 125,463
  4. Step 4: Simplify right side
    89,507x = 15,740,964,369
  5. Step 5: Solve for x
    x = 15,740,964,369/89,507
  6. Step 6: Final answer
    x = 175,862.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.