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Finding the Third Proportional to 62,208 and 83,808

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Solution

The third proportional to 62,208 and 83,808 is: 112,908

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,208 : 83,808 = 83,808 : x
  2. Step 2: Convert to fraction form
    62,208/83,808 = 83,808/x
  3. Step 3: Cross multiply
    62,208x = 83,808 × 83,808
  4. Step 4: Simplify right side
    62,208x = 7,023,780,864
  5. Step 5: Solve for x
    x = 7,023,780,864/62,208
  6. Step 6: Final answer
    x = 112,908

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.