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Finding the Third Proportional to 63,455 and 98,099

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Solution

The third proportional to 63,455 and 98,099 is: 151,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,455 : 98,099 = 98,099 : x
  2. Step 2: Convert to fraction form
    63,455/98,099 = 98,099/x
  3. Step 3: Cross multiply
    63,455x = 98,099 × 98,099
  4. Step 4: Simplify right side
    63,455x = 9,623,413,801
  5. Step 5: Solve for x
    x = 9,623,413,801/63,455
  6. Step 6: Final answer
    x = 151,657.30

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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.