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Finding the Third Proportional to 98,250.75 and 139,052.84

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Solution

The third proportional to 98,250.75 and 139,052.84 is: 196,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,250.75 : 139,052.84 = 139,052.84 : x
  2. Step 2: Convert to fraction form
    98,250.75/139,052.84 = 139,052.84/x
  3. Step 3: Cross multiply
    98,250.75x = 139,052.84 × 139,052.84
  4. Step 4: Simplify right side
    98,250.75x = 19,335,693,354.96
  5. Step 5: Solve for x
    x = 19,335,693,354.96/98,250.75
  6. Step 6: Final answer
    x = 196,799.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.