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Finding the Third Proportional to 91,842 and 134,617

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Solution

The third proportional to 91,842 and 134,617 is: 197,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,842 : 134,617 = 134,617 : x
  2. Step 2: Convert to fraction form
    91,842/134,617 = 134,617/x
  3. Step 3: Cross multiply
    91,842x = 134,617 × 134,617
  4. Step 4: Simplify right side
    91,842x = 18,121,736,689
  5. Step 5: Solve for x
    x = 18,121,736,689/91,842
  6. Step 6: Final answer
    x = 197,314.26

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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.