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Finding the Third Proportional to 68,077.13 and 89,586

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Solution

The third proportional to 68,077.13 and 89,586 is: 117,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,077.13 : 89,586 = 89,586 : x
  2. Step 2: Convert to fraction form
    68,077.13/89,586 = 89,586/x
  3. Step 3: Cross multiply
    68,077.13x = 89,586 × 89,586
  4. Step 4: Simplify right side
    68,077.13x = 8,025,651,396
  5. Step 5: Solve for x
    x = 8,025,651,396/68,077.13
  6. Step 6: Final answer
    x = 117,890.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.