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Finding the Third Proportional to 59,718 and 83,703

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Solution

The third proportional to 59,718 and 83,703 is: 117,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,718 : 83,703 = 83,703 : x
  2. Step 2: Convert to fraction form
    59,718/83,703 = 83,703/x
  3. Step 3: Cross multiply
    59,718x = 83,703 × 83,703
  4. Step 4: Simplify right side
    59,718x = 7,006,192,209
  5. Step 5: Solve for x
    x = 7,006,192,209/59,718
  6. Step 6: Final answer
    x = 117,321.28

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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.