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Finding the Third Proportional to 63,412 and 98,324

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Solution

The third proportional to 63,412 and 98,324 is: 152,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,412 : 98,324 = 98,324 : x
  2. Step 2: Convert to fraction form
    63,412/98,324 = 98,324/x
  3. Step 3: Cross multiply
    63,412x = 98,324 × 98,324
  4. Step 4: Simplify right side
    63,412x = 9,667,608,976
  5. Step 5: Solve for x
    x = 9,667,608,976/63,412
  6. Step 6: Final answer
    x = 152,457.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.