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Finding the Third Proportional to 125,126 and 272,284

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Solution

The third proportional to 125,126 and 272,284 is: 592,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,126 : 272,284 = 272,284 : x
  2. Step 2: Convert to fraction form
    125,126/272,284 = 272,284/x
  3. Step 3: Cross multiply
    125,126x = 272,284 × 272,284
  4. Step 4: Simplify right side
    125,126x = 74,138,576,656
  5. Step 5: Solve for x
    x = 74,138,576,656/125,126
  6. Step 6: Final answer
    x = 592,511.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.