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Finding the Third Proportional to 71,524.13 and 108,206.63

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Solution

The third proportional to 71,524.13 and 108,206.63 is: 163,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,524.13 : 108,206.63 = 108,206.63 : x
  2. Step 2: Convert to fraction form
    71,524.13/108,206.63 = 108,206.63/x
  3. Step 3: Cross multiply
    71,524.13x = 108,206.63 × 108,206.63
  4. Step 4: Simplify right side
    71,524.13x = 11,708,673,693.89
  5. Step 5: Solve for x
    x = 11,708,673,693.89/71,524.13
  6. Step 6: Final answer
    x = 163,702.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.