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Finding the Third Proportional to 125,013 and 269,572.50

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Solution

The third proportional to 125,013 and 269,572.50 is: 581,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,013 : 269,572.50 = 269,572.50 : x
  2. Step 2: Convert to fraction form
    125,013/269,572.50 = 269,572.50/x
  3. Step 3: Cross multiply
    125,013x = 269,572.50 × 269,572.50
  4. Step 4: Simplify right side
    125,013x = 72,669,332,756.25
  5. Step 5: Solve for x
    x = 72,669,332,756.25/125,013
  6. Step 6: Final answer
    x = 581,294.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.