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Finding the Third Proportional to 71,142 and 106,527

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Solution

The third proportional to 71,142 and 106,527 is: 159,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142 : 106,527 = 106,527 : x
  2. Step 2: Convert to fraction form
    71,142/106,527 = 106,527/x
  3. Step 3: Cross multiply
    71,142x = 106,527 × 106,527
  4. Step 4: Simplify right side
    71,142x = 11,348,001,729
  5. Step 5: Solve for x
    x = 11,348,001,729/71,142
  6. Step 6: Final answer
    x = 159,511.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.