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Finding the Third Proportional to 71,585 and 110,082

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Solution

The third proportional to 71,585 and 110,082 is: 169,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,585 : 110,082 = 110,082 : x
  2. Step 2: Convert to fraction form
    71,585/110,082 = 110,082/x
  3. Step 3: Cross multiply
    71,585x = 110,082 × 110,082
  4. Step 4: Simplify right side
    71,585x = 12,118,046,724
  5. Step 5: Solve for x
    x = 12,118,046,724/71,585
  6. Step 6: Final answer
    x = 169,281.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.