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Finding the Third Proportional to 63,671 and 98,504

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Solution

The third proportional to 63,671 and 98,504 is: 152,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,671 : 98,504 = 98,504 : x
  2. Step 2: Convert to fraction form
    63,671/98,504 = 98,504/x
  3. Step 3: Cross multiply
    63,671x = 98,504 × 98,504
  4. Step 4: Simplify right side
    63,671x = 9,703,038,016
  5. Step 5: Solve for x
    x = 9,703,038,016/63,671
  6. Step 6: Final answer
    x = 152,393.37

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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.