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Finding the Third Proportional to 98,946 and 148,419

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Solution

The third proportional to 98,946 and 148,419 is: 222,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,946 : 148,419 = 148,419 : x
  2. Step 2: Convert to fraction form
    98,946/148,419 = 148,419/x
  3. Step 3: Cross multiply
    98,946x = 148,419 × 148,419
  4. Step 4: Simplify right side
    98,946x = 22,028,199,561
  5. Step 5: Solve for x
    x = 22,028,199,561/98,946
  6. Step 6: Final answer
    x = 222,628.50

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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.