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Finding the Third Proportional to 98,451 and 148,578

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Solution

The third proportional to 98,451 and 148,578 is: 224,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,451 : 148,578 = 148,578 : x
  2. Step 2: Convert to fraction form
    98,451/148,578 = 148,578/x
  3. Step 3: Cross multiply
    98,451x = 148,578 × 148,578
  4. Step 4: Simplify right side
    98,451x = 22,075,422,084
  5. Step 5: Solve for x
    x = 22,075,422,084/98,451
  6. Step 6: Final answer
    x = 224,227.50

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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.