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Finding the Third Proportional to 70,705.50 and 98,904

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Solution

The third proportional to 70,705.50 and 98,904 is: 138,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,705.50 : 98,904 = 98,904 : x
  2. Step 2: Convert to fraction form
    70,705.50/98,904 = 98,904/x
  3. Step 3: Cross multiply
    70,705.50x = 98,904 × 98,904
  4. Step 4: Simplify right side
    70,705.50x = 9,782,001,216
  5. Step 5: Solve for x
    x = 9,782,001,216/70,705.50
  6. Step 6: Final answer
    x = 138,348.52

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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.