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Finding the Third Proportional to 48,046 and 76,344

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Solution

The third proportional to 48,046 and 76,344 is: 121,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,046 : 76,344 = 76,344 : x
  2. Step 2: Convert to fraction form
    48,046/76,344 = 76,344/x
  3. Step 3: Cross multiply
    48,046x = 76,344 × 76,344
  4. Step 4: Simplify right side
    48,046x = 5,828,406,336
  5. Step 5: Solve for x
    x = 5,828,406,336/48,046
  6. Step 6: Final answer
    x = 121,308.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.