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Finding the Third Proportional to 63,174 and 98,562

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Solution

The third proportional to 63,174 and 98,562 is: 153,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,174 : 98,562 = 98,562 : x
  2. Step 2: Convert to fraction form
    63,174/98,562 = 98,562/x
  3. Step 3: Cross multiply
    63,174x = 98,562 × 98,562
  4. Step 4: Simplify right side
    63,174x = 9,714,467,844
  5. Step 5: Solve for x
    x = 9,714,467,844/63,174
  6. Step 6: Final answer
    x = 153,773.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.