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Finding the Third Proportional to 59,403 and 78,520

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Solution

The third proportional to 59,403 and 78,520 is: 103,789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,403 : 78,520 = 78,520 : x
  2. Step 2: Convert to fraction form
    59,403/78,520 = 78,520/x
  3. Step 3: Cross multiply
    59,403x = 78,520 × 78,520
  4. Step 4: Simplify right side
    59,403x = 6,165,390,400
  5. Step 5: Solve for x
    x = 6,165,390,400/59,403
  6. Step 6: Final answer
    x = 103,789.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.