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Finding the Third Proportional to 59,623 and 126,352

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Solution

The third proportional to 59,623 and 126,352 is: 267,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,623 : 126,352 = 126,352 : x
  2. Step 2: Convert to fraction form
    59,623/126,352 = 126,352/x
  3. Step 3: Cross multiply
    59,623x = 126,352 × 126,352
  4. Step 4: Simplify right side
    59,623x = 15,964,827,904
  5. Step 5: Solve for x
    x = 15,964,827,904/59,623
  6. Step 6: Final answer
    x = 267,762.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.