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Finding the Third Proportional to 68,585 and 105,566

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Solution

The third proportional to 68,585 and 105,566 is: 162,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,585 : 105,566 = 105,566 : x
  2. Step 2: Convert to fraction form
    68,585/105,566 = 105,566/x
  3. Step 3: Cross multiply
    68,585x = 105,566 × 105,566
  4. Step 4: Simplify right side
    68,585x = 11,144,180,356
  5. Step 5: Solve for x
    x = 11,144,180,356/68,585
  6. Step 6: Final answer
    x = 162,487.14

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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.