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Finding the Third Proportional to 125,748 and 269,492

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Solution

The third proportional to 125,748 and 269,492 is: 577,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,748 : 269,492 = 269,492 : x
  2. Step 2: Convert to fraction form
    125,748/269,492 = 269,492/x
  3. Step 3: Cross multiply
    125,748x = 269,492 × 269,492
  4. Step 4: Simplify right side
    125,748x = 72,625,938,064
  5. Step 5: Solve for x
    x = 72,625,938,064/125,748
  6. Step 6: Final answer
    x = 577,551.44

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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.