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Finding the Third Proportional to 59,730 and 125,212

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Solution

The third proportional to 59,730 and 125,212 is: 262,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,730 : 125,212 = 125,212 : x
  2. Step 2: Convert to fraction form
    59,730/125,212 = 125,212/x
  3. Step 3: Cross multiply
    59,730x = 125,212 × 125,212
  4. Step 4: Simplify right side
    59,730x = 15,678,044,944
  5. Step 5: Solve for x
    x = 15,678,044,944/59,730
  6. Step 6: Final answer
    x = 262,481.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.