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Finding the Third Proportional to 59,871 and 83,245

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Solution

The third proportional to 59,871 and 83,245 is: 115,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,871 : 83,245 = 83,245 : x
  2. Step 2: Convert to fraction form
    59,871/83,245 = 83,245/x
  3. Step 3: Cross multiply
    59,871x = 83,245 × 83,245
  4. Step 4: Simplify right side
    59,871x = 6,929,730,025
  5. Step 5: Solve for x
    x = 6,929,730,025/59,871
  6. Step 6: Final answer
    x = 115,744.35

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.