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Finding the Third Proportional to 98,552 and 147,180

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Solution

The third proportional to 98,552 and 147,180 is: 219,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,552 : 147,180 = 147,180 : x
  2. Step 2: Convert to fraction form
    98,552/147,180 = 147,180/x
  3. Step 3: Cross multiply
    98,552x = 147,180 × 147,180
  4. Step 4: Simplify right side
    98,552x = 21,661,952,400
  5. Step 5: Solve for x
    x = 21,661,952,400/98,552
  6. Step 6: Final answer
    x = 219,802.26

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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.