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Finding the Third Proportional to 84,691.50 and 124,701

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Solution

The third proportional to 84,691.50 and 124,701 is: 183,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,691.50 : 124,701 = 124,701 : x
  2. Step 2: Convert to fraction form
    84,691.50/124,701 = 124,701/x
  3. Step 3: Cross multiply
    84,691.50x = 124,701 × 124,701
  4. Step 4: Simplify right side
    84,691.50x = 15,550,339,401
  5. Step 5: Solve for x
    x = 15,550,339,401/84,691.50
  6. Step 6: Final answer
    x = 183,611.57

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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.