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Finding the Third Proportional to 66,891.19 and 103,595.06

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Solution

The third proportional to 66,891.19 and 103,595.06 is: 160,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,891.19 : 103,595.06 = 103,595.06 : x
  2. Step 2: Convert to fraction form
    66,891.19/103,595.06 = 103,595.06/x
  3. Step 3: Cross multiply
    66,891.19x = 103,595.06 × 103,595.06
  4. Step 4: Simplify right side
    66,891.19x = 10,731,936,974.38
  5. Step 5: Solve for x
    x = 10,731,936,974.38/66,891.19
  6. Step 6: Final answer
    x = 160,438.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.