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Finding the Third Proportional to 98,076 and 147,414

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Solution

The third proportional to 98,076 and 147,414 is: 221,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,076 : 147,414 = 147,414 : x
  2. Step 2: Convert to fraction form
    98,076/147,414 = 147,414/x
  3. Step 3: Cross multiply
    98,076x = 147,414 × 147,414
  4. Step 4: Simplify right side
    98,076x = 21,730,887,396
  5. Step 5: Solve for x
    x = 21,730,887,396/98,076
  6. Step 6: Final answer
    x = 221,571.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.