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Finding the Third Proportional to 40,125.38 and 85,809.38

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Solution

The third proportional to 40,125.38 and 85,809.38 is: 183,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,125.38 : 85,809.38 = 85,809.38 : x
  2. Step 2: Convert to fraction form
    40,125.38/85,809.38 = 85,809.38/x
  3. Step 3: Cross multiply
    40,125.38x = 85,809.38 × 85,809.38
  4. Step 4: Simplify right side
    40,125.38x = 7,363,248,837.89
  5. Step 5: Solve for x
    x = 7,363,248,837.89/40,125.38
  6. Step 6: Final answer
    x = 183,506.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.