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Finding the Third Proportional to 128,520 and 272,592

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Solution

The third proportional to 128,520 and 272,592 is: 578,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,520 : 272,592 = 272,592 : x
  2. Step 2: Convert to fraction form
    128,520/272,592 = 272,592/x
  3. Step 3: Cross multiply
    128,520x = 272,592 × 272,592
  4. Step 4: Simplify right side
    128,520x = 74,306,398,464
  5. Step 5: Solve for x
    x = 74,306,398,464/128,520
  6. Step 6: Final answer
    x = 578,169.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.