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Finding the Third Proportional to 124,407 and 266,563

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Solution

The third proportional to 124,407 and 266,563 is: 571,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,407 : 266,563 = 266,563 : x
  2. Step 2: Convert to fraction form
    124,407/266,563 = 266,563/x
  3. Step 3: Cross multiply
    124,407x = 266,563 × 266,563
  4. Step 4: Simplify right side
    124,407x = 71,055,832,969
  5. Step 5: Solve for x
    x = 71,055,832,969/124,407
  6. Step 6: Final answer
    x = 571,156.23

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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.