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Finding the Third Proportional to 62,304 and 99,184

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Solution

The third proportional to 62,304 and 99,184 is: 157,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,304 : 99,184 = 99,184 : x
  2. Step 2: Convert to fraction form
    62,304/99,184 = 99,184/x
  3. Step 3: Cross multiply
    62,304x = 99,184 × 99,184
  4. Step 4: Simplify right side
    62,304x = 9,837,465,856
  5. Step 5: Solve for x
    x = 9,837,465,856/62,304
  6. Step 6: Final answer
    x = 157,894.61

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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.