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Finding the Third Proportional to 70,599 and 101,998.50

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Solution

The third proportional to 70,599 and 101,998.50 is: 147,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,599 : 101,998.50 = 101,998.50 : x
  2. Step 2: Convert to fraction form
    70,599/101,998.50 = 101,998.50/x
  3. Step 3: Cross multiply
    70,599x = 101,998.50 × 101,998.50
  4. Step 4: Simplify right side
    70,599x = 10,403,694,002.25
  5. Step 5: Solve for x
    x = 10,403,694,002.25/70,599
  6. Step 6: Final answer
    x = 147,363.19

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.