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Finding the Third Proportional to 63,396 and 98,166

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Solution

The third proportional to 63,396 and 98,166 is: 152,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,396 : 98,166 = 98,166 : x
  2. Step 2: Convert to fraction form
    63,396/98,166 = 98,166/x
  3. Step 3: Cross multiply
    63,396x = 98,166 × 98,166
  4. Step 4: Simplify right side
    63,396x = 9,636,563,556
  5. Step 5: Solve for x
    x = 9,636,563,556/63,396
  6. Step 6: Final answer
    x = 152,005.86

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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.