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Finding the Third Proportional to 125,681 and 269,353

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Solution

The third proportional to 125,681 and 269,353 is: 577,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,681 : 269,353 = 269,353 : x
  2. Step 2: Convert to fraction form
    125,681/269,353 = 269,353/x
  3. Step 3: Cross multiply
    125,681x = 269,353 × 269,353
  4. Step 4: Simplify right side
    125,681x = 72,551,038,609
  5. Step 5: Solve for x
    x = 72,551,038,609/125,681
  6. Step 6: Final answer
    x = 577,263.38

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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.