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Finding the Third Proportional to 77,952 and 172,800

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Solution

The third proportional to 77,952 and 172,800 is: 383,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,952 : 172,800 = 172,800 : x
  2. Step 2: Convert to fraction form
    77,952/172,800 = 172,800/x
  3. Step 3: Cross multiply
    77,952x = 172,800 × 172,800
  4. Step 4: Simplify right side
    77,952x = 29,859,840,000
  5. Step 5: Solve for x
    x = 29,859,840,000/77,952
  6. Step 6: Final answer
    x = 383,054.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.