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Finding the Third Proportional to 98,408.25 and 148,776.75

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Solution

The third proportional to 98,408.25 and 148,776.75 is: 224,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,408.25 : 148,776.75 = 148,776.75 : x
  2. Step 2: Convert to fraction form
    98,408.25/148,776.75 = 148,776.75/x
  3. Step 3: Cross multiply
    98,408.25x = 148,776.75 × 148,776.75
  4. Step 4: Simplify right side
    98,408.25x = 22,134,521,340.56
  5. Step 5: Solve for x
    x = 22,134,521,340.56/98,408.25
  6. Step 6: Final answer
    x = 224,925.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.