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Finding the Third Proportional to 98,311 and 148,272

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Solution

The third proportional to 98,311 and 148,272 is: 223,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,311 : 148,272 = 148,272 : x
  2. Step 2: Convert to fraction form
    98,311/148,272 = 148,272/x
  3. Step 3: Cross multiply
    98,311x = 148,272 × 148,272
  4. Step 4: Simplify right side
    98,311x = 21,984,585,984
  5. Step 5: Solve for x
    x = 21,984,585,984/98,311
  6. Step 6: Final answer
    x = 223,622.85

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