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Finding the Third Proportional to 47,129 and 102,587.50

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Solution

The third proportional to 47,129 and 102,587.50 is: 223,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,129 : 102,587.50 = 102,587.50 : x
  2. Step 2: Convert to fraction form
    47,129/102,587.50 = 102,587.50/x
  3. Step 3: Cross multiply
    47,129x = 102,587.50 × 102,587.50
  4. Step 4: Simplify right side
    47,129x = 10,524,195,156.25
  5. Step 5: Solve for x
    x = 10,524,195,156.25/47,129
  6. Step 6: Final answer
    x = 223,306.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.