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Finding the Third Proportional to 98,715 and 148,961

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Solution

The third proportional to 98,715 and 148,961 is: 224,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,715 : 148,961 = 148,961 : x
  2. Step 2: Convert to fraction form
    98,715/148,961 = 148,961/x
  3. Step 3: Cross multiply
    98,715x = 148,961 × 148,961
  4. Step 4: Simplify right side
    98,715x = 22,189,379,521
  5. Step 5: Solve for x
    x = 22,189,379,521/98,715
  6. Step 6: Final answer
    x = 224,782.25

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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.