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Finding the Third Proportional to 98,532 and 147,150

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Solution

The third proportional to 98,532 and 147,150 is: 219,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,532 : 147,150 = 147,150 : x
  2. Step 2: Convert to fraction form
    98,532/147,150 = 147,150/x
  3. Step 3: Cross multiply
    98,532x = 147,150 × 147,150
  4. Step 4: Simplify right side
    98,532x = 21,653,122,500
  5. Step 5: Solve for x
    x = 21,653,122,500/98,532
  6. Step 6: Final answer
    x = 219,757.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.