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Finding the Third Proportional to 98,280 and 147,516

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Solution

The third proportional to 98,280 and 147,516 is: 221,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,280 : 147,516 = 147,516 : x
  2. Step 2: Convert to fraction form
    98,280/147,516 = 147,516/x
  3. Step 3: Cross multiply
    98,280x = 147,516 × 147,516
  4. Step 4: Simplify right side
    98,280x = 21,760,970,256
  5. Step 5: Solve for x
    x = 21,760,970,256/98,280
  6. Step 6: Final answer
    x = 221,418.09

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