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Finding the Third Proportional to 42,255 and 59,079.38

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Solution

The third proportional to 42,255 and 59,079.38 is: 82,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,255 : 59,079.38 = 59,079.38 : x
  2. Step 2: Convert to fraction form
    42,255/59,079.38 = 59,079.38/x
  3. Step 3: Cross multiply
    42,255x = 59,079.38 × 59,079.38
  4. Step 4: Simplify right side
    42,255x = 3,490,372,550.39
  5. Step 5: Solve for x
    x = 3,490,372,550.39/42,255
  6. Step 6: Final answer
    x = 82,602.59

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.