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Finding the Third Proportional to 81,657 and 126,117

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Solution

The third proportional to 81,657 and 126,117 is: 194,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,657 : 126,117 = 126,117 : x
  2. Step 2: Convert to fraction form
    81,657/126,117 = 126,117/x
  3. Step 3: Cross multiply
    81,657x = 126,117 × 126,117
  4. Step 4: Simplify right side
    81,657x = 15,905,497,689
  5. Step 5: Solve for x
    x = 15,905,497,689/81,657
  6. Step 6: Final answer
    x = 194,784.25

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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.