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Finding the Third Proportional to 70,705.50 and 98,902.50

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Solution

The third proportional to 70,705.50 and 98,902.50 is: 138,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,705.50 : 98,902.50 = 98,902.50 : x
  2. Step 2: Convert to fraction form
    70,705.50/98,902.50 = 98,902.50/x
  3. Step 3: Cross multiply
    70,705.50x = 98,902.50 × 98,902.50
  4. Step 4: Simplify right side
    70,705.50x = 9,781,704,506.25
  5. Step 5: Solve for x
    x = 9,781,704,506.25/70,705.50
  6. Step 6: Final answer
    x = 138,344.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.