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Finding the Third Proportional to 98,914 and 148,563

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Solution

The third proportional to 98,914 and 148,563 is: 223,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,914 : 148,563 = 148,563 : x
  2. Step 2: Convert to fraction form
    98,914/148,563 = 148,563/x
  3. Step 3: Cross multiply
    98,914x = 148,563 × 148,563
  4. Step 4: Simplify right side
    98,914x = 22,070,964,969
  5. Step 5: Solve for x
    x = 22,070,964,969/98,914
  6. Step 6: Final answer
    x = 223,132.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.