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Finding the Third Proportional to 66,612 and 100,358

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Solution

The third proportional to 66,612 and 100,358 is: 151,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,612 : 100,358 = 100,358 : x
  2. Step 2: Convert to fraction form
    66,612/100,358 = 100,358/x
  3. Step 3: Cross multiply
    66,612x = 100,358 × 100,358
  4. Step 4: Simplify right side
    66,612x = 10,071,728,164
  5. Step 5: Solve for x
    x = 10,071,728,164/66,612
  6. Step 6: Final answer
    x = 151,199.91

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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.