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Finding the Third Proportional to 98,477.06 and 152,082.75

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Solution

The third proportional to 98,477.06 and 152,082.75 is: 234,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,477.06 : 152,082.75 = 152,082.75 : x
  2. Step 2: Convert to fraction form
    98,477.06/152,082.75 = 152,082.75/x
  3. Step 3: Cross multiply
    98,477.06x = 152,082.75 × 152,082.75
  4. Step 4: Simplify right side
    98,477.06x = 23,129,162,847.56
  5. Step 5: Solve for x
    x = 23,129,162,847.56/98,477.06
  6. Step 6: Final answer
    x = 234,868.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.