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Finding the Third Proportional to 83,753 and 125,807

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Solution

The third proportional to 83,753 and 125,807 is: 188,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,753 : 125,807 = 125,807 : x
  2. Step 2: Convert to fraction form
    83,753/125,807 = 125,807/x
  3. Step 3: Cross multiply
    83,753x = 125,807 × 125,807
  4. Step 4: Simplify right side
    83,753x = 15,827,401,249
  5. Step 5: Solve for x
    x = 15,827,401,249/83,753
  6. Step 6: Final answer
    x = 188,977.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.