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Finding the Third Proportional to 48,272 and 76,617

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Solution

The third proportional to 48,272 and 76,617 is: 121,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,272 : 76,617 = 76,617 : x
  2. Step 2: Convert to fraction form
    48,272/76,617 = 76,617/x
  3. Step 3: Cross multiply
    48,272x = 76,617 × 76,617
  4. Step 4: Simplify right side
    48,272x = 5,870,164,689
  5. Step 5: Solve for x
    x = 5,870,164,689/48,272
  6. Step 6: Final answer
    x = 121,606.00

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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.