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Finding the Third Proportional to 42,168 and 59,328

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Solution

The third proportional to 42,168 and 59,328 is: 83,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,168 : 59,328 = 59,328 : x
  2. Step 2: Convert to fraction form
    42,168/59,328 = 59,328/x
  3. Step 3: Cross multiply
    42,168x = 59,328 × 59,328
  4. Step 4: Simplify right side
    42,168x = 3,519,811,584
  5. Step 5: Solve for x
    x = 3,519,811,584/42,168
  6. Step 6: Final answer
    x = 83,471.15

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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.