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Finding the Third Proportional to 125,069 and 266,541

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Solution

The third proportional to 125,069 and 266,541 is: 568,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,069 : 266,541 = 266,541 : x
  2. Step 2: Convert to fraction form
    125,069/266,541 = 266,541/x
  3. Step 3: Cross multiply
    125,069x = 266,541 × 266,541
  4. Step 4: Simplify right side
    125,069x = 71,044,104,681
  5. Step 5: Solve for x
    x = 71,044,104,681/125,069
  6. Step 6: Final answer
    x = 568,039.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.