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Finding the Third Proportional to 125,348 and 270,076

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Solution

The third proportional to 125,348 and 270,076 is: 581,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,348 : 270,076 = 270,076 : x
  2. Step 2: Convert to fraction form
    125,348/270,076 = 270,076/x
  3. Step 3: Cross multiply
    125,348x = 270,076 × 270,076
  4. Step 4: Simplify right side
    125,348x = 72,941,045,776
  5. Step 5: Solve for x
    x = 72,941,045,776/125,348
  6. Step 6: Final answer
    x = 581,908.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.