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Finding the Third Proportional to 71,769 and 98,521.50

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Solution

The third proportional to 71,769 and 98,521.50 is: 135,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769 : 98,521.50 = 98,521.50 : x
  2. Step 2: Convert to fraction form
    71,769/98,521.50 = 98,521.50/x
  3. Step 3: Cross multiply
    71,769x = 98,521.50 × 98,521.50
  4. Step 4: Simplify right side
    71,769x = 9,706,485,962.25
  5. Step 5: Solve for x
    x = 9,706,485,962.25/71,769
  6. Step 6: Final answer
    x = 135,246.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.