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Finding the Third Proportional to 55,430 and 98,548

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Solution

The third proportional to 55,430 and 98,548 is: 175,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,430 : 98,548 = 98,548 : x
  2. Step 2: Convert to fraction form
    55,430/98,548 = 98,548/x
  3. Step 3: Cross multiply
    55,430x = 98,548 × 98,548
  4. Step 4: Simplify right side
    55,430x = 9,711,708,304
  5. Step 5: Solve for x
    x = 9,711,708,304/55,430
  6. Step 6: Final answer
    x = 175,206.72

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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.