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Finding the Third Proportional to 52,614 and 112,630

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Solution

The third proportional to 52,614 and 112,630 is: 241,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,614 : 112,630 = 112,630 : x
  2. Step 2: Convert to fraction form
    52,614/112,630 = 112,630/x
  3. Step 3: Cross multiply
    52,614x = 112,630 × 112,630
  4. Step 4: Simplify right side
    52,614x = 12,685,516,900
  5. Step 5: Solve for x
    x = 12,685,516,900/52,614
  6. Step 6: Final answer
    x = 241,105.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.