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Finding the Third Proportional to 63,669 and 98,500.50

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Solution

The third proportional to 63,669 and 98,500.50 is: 152,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,669 : 98,500.50 = 98,500.50 : x
  2. Step 2: Convert to fraction form
    63,669/98,500.50 = 98,500.50/x
  3. Step 3: Cross multiply
    63,669x = 98,500.50 × 98,500.50
  4. Step 4: Simplify right side
    63,669x = 9,702,348,500.25
  5. Step 5: Solve for x
    x = 9,702,348,500.25/63,669
  6. Step 6: Final answer
    x = 152,387.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.