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Finding the Third Proportional to 42,264 and 59,364

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Solution

The third proportional to 42,264 and 59,364 is: 83,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,264 : 59,364 = 59,364 : x
  2. Step 2: Convert to fraction form
    42,264/59,364 = 59,364/x
  3. Step 3: Cross multiply
    42,264x = 59,364 × 59,364
  4. Step 4: Simplify right side
    42,264x = 3,524,084,496
  5. Step 5: Solve for x
    x = 3,524,084,496/42,264
  6. Step 6: Final answer
    x = 83,382.65

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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.