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Finding the Third Proportional to 125,146 and 272,324

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Solution

The third proportional to 125,146 and 272,324 is: 592,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,146 : 272,324 = 272,324 : x
  2. Step 2: Convert to fraction form
    125,146/272,324 = 272,324/x
  3. Step 3: Cross multiply
    125,146x = 272,324 × 272,324
  4. Step 4: Simplify right side
    125,146x = 74,160,360,976
  5. Step 5: Solve for x
    x = 74,160,360,976/125,146
  6. Step 6: Final answer
    x = 592,590.74

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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.