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Finding the Third Proportional to 125,920 and 272,576

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Solution

The third proportional to 125,920 and 272,576 is: 590,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,920 : 272,576 = 272,576 : x
  2. Step 2: Convert to fraction form
    125,920/272,576 = 272,576/x
  3. Step 3: Cross multiply
    125,920x = 272,576 × 272,576
  4. Step 4: Simplify right side
    125,920x = 74,297,675,776
  5. Step 5: Solve for x
    x = 74,297,675,776/125,920
  6. Step 6: Final answer
    x = 590,038.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.