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Finding the Third Proportional to 42,143.63 and 59,282.44

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Solution

The third proportional to 42,143.63 and 59,282.44 is: 83,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,143.63 : 59,282.44 = 59,282.44 : x
  2. Step 2: Convert to fraction form
    42,143.63/59,282.44 = 59,282.44/x
  3. Step 3: Cross multiply
    42,143.63x = 59,282.44 × 59,282.44
  4. Step 4: Simplify right side
    42,143.63x = 3,514,407,395.94
  5. Step 5: Solve for x
    x = 3,514,407,395.94/42,143.63
  6. Step 6: Final answer
    x = 83,391.20

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