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Finding the Third Proportional to 124,401 and 266,549.25

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Solution

The third proportional to 124,401 and 266,549.25 is: 571,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,401 : 266,549.25 = 266,549.25 : x
  2. Step 2: Convert to fraction form
    124,401/266,549.25 = 266,549.25/x
  3. Step 3: Cross multiply
    124,401x = 266,549.25 × 266,549.25
  4. Step 4: Simplify right side
    124,401x = 71,048,502,675.56
  5. Step 5: Solve for x
    x = 71,048,502,675.56/124,401
  6. Step 6: Final answer
    x = 571,124.85

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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.