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Finding the Third Proportional to 72,683 and 98,170

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Solution

The third proportional to 72,683 and 98,170 is: 132,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,683 : 98,170 = 98,170 : x
  2. Step 2: Convert to fraction form
    72,683/98,170 = 98,170/x
  3. Step 3: Cross multiply
    72,683x = 98,170 × 98,170
  4. Step 4: Simplify right side
    72,683x = 9,637,348,900
  5. Step 5: Solve for x
    x = 9,637,348,900/72,683
  6. Step 6: Final answer
    x = 132,594.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.