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Finding the Third Proportional to 60,644 and 127,572

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Solution

The third proportional to 60,644 and 127,572 is: 268,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,644 : 127,572 = 127,572 : x
  2. Step 2: Convert to fraction form
    60,644/127,572 = 127,572/x
  3. Step 3: Cross multiply
    60,644x = 127,572 × 127,572
  4. Step 4: Simplify right side
    60,644x = 16,274,615,184
  5. Step 5: Solve for x
    x = 16,274,615,184/60,644
  6. Step 6: Final answer
    x = 268,363.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.