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Finding the Third Proportional to 83,977 and 130,022

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Solution

The third proportional to 83,977 and 130,022 is: 201,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,977 : 130,022 = 130,022 : x
  2. Step 2: Convert to fraction form
    83,977/130,022 = 130,022/x
  3. Step 3: Cross multiply
    83,977x = 130,022 × 130,022
  4. Step 4: Simplify right side
    83,977x = 16,905,720,484
  5. Step 5: Solve for x
    x = 16,905,720,484/83,977
  6. Step 6: Final answer
    x = 201,313.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.