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Finding the Third Proportional to 98,721 and 148,969

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Solution

The third proportional to 98,721 and 148,969 is: 224,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,721 : 148,969 = 148,969 : x
  2. Step 2: Convert to fraction form
    98,721/148,969 = 148,969/x
  3. Step 3: Cross multiply
    98,721x = 148,969 × 148,969
  4. Step 4: Simplify right side
    98,721x = 22,191,762,961
  5. Step 5: Solve for x
    x = 22,191,762,961/98,721
  6. Step 6: Final answer
    x = 224,792.73

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Why These Related Problems?

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