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Finding the Third Proportional to 68,076 and 149,576

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Solution

The third proportional to 68,076 and 149,576 is: 328,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,076 : 149,576 = 149,576 : x
  2. Step 2: Convert to fraction form
    68,076/149,576 = 149,576/x
  3. Step 3: Cross multiply
    68,076x = 149,576 × 149,576
  4. Step 4: Simplify right side
    68,076x = 22,372,979,776
  5. Step 5: Solve for x
    x = 22,372,979,776/68,076
  6. Step 6: Final answer
    x = 328,647.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.