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Finding the Third Proportional to 68,946 and 103,419

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Solution

The third proportional to 68,946 and 103,419 is: 155,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,946 : 103,419 = 103,419 : x
  2. Step 2: Convert to fraction form
    68,946/103,419 = 103,419/x
  3. Step 3: Cross multiply
    68,946x = 103,419 × 103,419
  4. Step 4: Simplify right side
    68,946x = 10,695,489,561
  5. Step 5: Solve for x
    x = 10,695,489,561/68,946
  6. Step 6: Final answer
    x = 155,128.50

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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.