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Finding the Third Proportional to 66,156 and 99,384

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Solution

The third proportional to 66,156 and 99,384 is: 149,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,156 : 99,384 = 99,384 : x
  2. Step 2: Convert to fraction form
    66,156/99,384 = 99,384/x
  3. Step 3: Cross multiply
    66,156x = 99,384 × 99,384
  4. Step 4: Simplify right side
    66,156x = 9,877,179,456
  5. Step 5: Solve for x
    x = 9,877,179,456/66,156
  6. Step 6: Final answer
    x = 149,301.34

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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.