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Finding the Third Proportional to 84,766.50 and 115,124.63

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Solution

The third proportional to 84,766.50 and 115,124.63 is: 156,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,766.50 : 115,124.63 = 115,124.63 : x
  2. Step 2: Convert to fraction form
    84,766.50/115,124.63 = 115,124.63/x
  3. Step 3: Cross multiply
    84,766.50x = 115,124.63 × 115,124.63
  4. Step 4: Simplify right side
    84,766.50x = 13,253,679,281.39
  5. Step 5: Solve for x
    x = 13,253,679,281.39/84,766.50
  6. Step 6: Final answer
    x = 156,355.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.