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Finding the Third Proportional to 125,144 and 272,320

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Solution

The third proportional to 125,144 and 272,320 is: 592,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,144 : 272,320 = 272,320 : x
  2. Step 2: Convert to fraction form
    125,144/272,320 = 272,320/x
  3. Step 3: Cross multiply
    125,144x = 272,320 × 272,320
  4. Step 4: Simplify right side
    125,144x = 74,158,182,400
  5. Step 5: Solve for x
    x = 74,158,182,400/125,144
  6. Step 6: Final answer
    x = 592,582.80

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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.