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Finding the Third Proportional to 83,294.50 and 118,711

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Solution

The third proportional to 83,294.50 and 118,711 is: 169,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,294.50 : 118,711 = 118,711 : x
  2. Step 2: Convert to fraction form
    83,294.50/118,711 = 118,711/x
  3. Step 3: Cross multiply
    83,294.50x = 118,711 × 118,711
  4. Step 4: Simplify right side
    83,294.50x = 14,092,301,521
  5. Step 5: Solve for x
    x = 14,092,301,521/83,294.50
  6. Step 6: Final answer
    x = 169,186.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.