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Finding the Third Proportional to 70,976.25 and 98,688.38

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Solution

The third proportional to 70,976.25 and 98,688.38 is: 137,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,976.25 : 98,688.38 = 98,688.38 : x
  2. Step 2: Convert to fraction form
    70,976.25/98,688.38 = 98,688.38/x
  3. Step 3: Cross multiply
    70,976.25x = 98,688.38 × 98,688.38
  4. Step 4: Simplify right side
    70,976.25x = 9,739,395,360.14
  5. Step 5: Solve for x
    x = 9,739,395,360.14/70,976.25
  6. Step 6: Final answer
    x = 137,220.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.