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Finding the Third Proportional to 59,300 and 86,730

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Solution

The third proportional to 59,300 and 86,730 is: 126,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,300 : 86,730 = 86,730 : x
  2. Step 2: Convert to fraction form
    59,300/86,730 = 86,730/x
  3. Step 3: Cross multiply
    59,300x = 86,730 × 86,730
  4. Step 4: Simplify right side
    59,300x = 7,522,092,900
  5. Step 5: Solve for x
    x = 7,522,092,900/59,300
  6. Step 6: Final answer
    x = 126,848.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.