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Finding the Third Proportional to 92,674.13 and 123,611.06

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Solution

The third proportional to 92,674.13 and 123,611.06 is: 164,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,674.13 : 123,611.06 = 123,611.06 : x
  2. Step 2: Convert to fraction form
    92,674.13/123,611.06 = 123,611.06/x
  3. Step 3: Cross multiply
    92,674.13x = 123,611.06 × 123,611.06
  4. Step 4: Simplify right side
    92,674.13x = 15,279,694,772.38
  5. Step 5: Solve for x
    x = 15,279,694,772.38/92,674.13
  6. Step 6: Final answer
    x = 164,875.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.