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Finding the Third Proportional to 98,757 and 148,995

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Solution

The third proportional to 98,757 and 148,995 is: 224,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,757 : 148,995 = 148,995 : x
  2. Step 2: Convert to fraction form
    98,757/148,995 = 148,995/x
  3. Step 3: Cross multiply
    98,757x = 148,995 × 148,995
  4. Step 4: Simplify right side
    98,757x = 22,199,510,025
  5. Step 5: Solve for x
    x = 22,199,510,025/98,757
  6. Step 6: Final answer
    x = 224,789.23

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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.