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Finding the Third Proportional to 42,181.59 and 59,325.47

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Solution

The third proportional to 42,181.59 and 59,325.47 is: 83,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,181.59 : 59,325.47 = 59,325.47 : x
  2. Step 2: Convert to fraction form
    42,181.59/59,325.47 = 59,325.47/x
  3. Step 3: Cross multiply
    42,181.59x = 59,325.47 × 59,325.47
  4. Step 4: Simplify right side
    42,181.59x = 3,519,511,242.41
  5. Step 5: Solve for x
    x = 3,519,511,242.41/42,181.59
  6. Step 6: Final answer
    x = 83,437.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.