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Finding the Third Proportional to 55,462 and 98,612

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Solution

The third proportional to 55,462 and 98,612 is: 175,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,462 : 98,612 = 98,612 : x
  2. Step 2: Convert to fraction form
    55,462/98,612 = 98,612/x
  3. Step 3: Cross multiply
    55,462x = 98,612 × 98,612
  4. Step 4: Simplify right side
    55,462x = 9,724,326,544
  5. Step 5: Solve for x
    x = 9,724,326,544/55,462
  6. Step 6: Final answer
    x = 175,333.14

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.