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Finding the Third Proportional to 73,460 and 99,657

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Solution

The third proportional to 73,460 and 99,657 is: 135,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,460 : 99,657 = 99,657 : x
  2. Step 2: Convert to fraction form
    73,460/99,657 = 99,657/x
  3. Step 3: Cross multiply
    73,460x = 99,657 × 99,657
  4. Step 4: Simplify right side
    73,460x = 9,931,517,649
  5. Step 5: Solve for x
    x = 9,931,517,649/73,460
  6. Step 6: Final answer
    x = 135,196.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.