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Finding the Third Proportional to 125,695.50 and 287,169

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Solution

The third proportional to 125,695.50 and 287,169 is: 656,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,695.50 : 287,169 = 287,169 : x
  2. Step 2: Convert to fraction form
    125,695.50/287,169 = 287,169/x
  3. Step 3: Cross multiply
    125,695.50x = 287,169 × 287,169
  4. Step 4: Simplify right side
    125,695.50x = 82,466,034,561
  5. Step 5: Solve for x
    x = 82,466,034,561/125,695.50
  6. Step 6: Final answer
    x = 656,077.86

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.