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Finding the Third Proportional to 98,280 and 147,252

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Solution

The third proportional to 98,280 and 147,252 is: 220,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,280 : 147,252 = 147,252 : x
  2. Step 2: Convert to fraction form
    98,280/147,252 = 147,252/x
  3. Step 3: Cross multiply
    98,280x = 147,252 × 147,252
  4. Step 4: Simplify right side
    98,280x = 21,683,151,504
  5. Step 5: Solve for x
    x = 21,683,151,504/98,280
  6. Step 6: Final answer
    x = 220,626.29

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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.