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Finding the Third Proportional to 61,644 and 98,001

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Solution

The third proportional to 61,644 and 98,001 is: 155,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,644 : 98,001 = 98,001 : x
  2. Step 2: Convert to fraction form
    61,644/98,001 = 98,001/x
  3. Step 3: Cross multiply
    61,644x = 98,001 × 98,001
  4. Step 4: Simplify right side
    61,644x = 9,604,196,001
  5. Step 5: Solve for x
    x = 9,604,196,001/61,644
  6. Step 6: Final answer
    x = 155,800.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.