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Finding the Third Proportional to 71,473 and 105,069

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Solution

The third proportional to 71,473 and 105,069 is: 154,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,473 : 105,069 = 105,069 : x
  2. Step 2: Convert to fraction form
    71,473/105,069 = 105,069/x
  3. Step 3: Cross multiply
    71,473x = 105,069 × 105,069
  4. Step 4: Simplify right side
    71,473x = 11,039,494,761
  5. Step 5: Solve for x
    x = 11,039,494,761/71,473
  6. Step 6: Final answer
    x = 154,456.85

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Why These Related Problems?

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