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Finding the Third Proportional to 83,942 and 130,167

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Solution

The third proportional to 83,942 and 130,167 is: 201,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,942 : 130,167 = 130,167 : x
  2. Step 2: Convert to fraction form
    83,942/130,167 = 130,167/x
  3. Step 3: Cross multiply
    83,942x = 130,167 × 130,167
  4. Step 4: Simplify right side
    83,942x = 16,943,447,889
  5. Step 5: Solve for x
    x = 16,943,447,889/83,942
  6. Step 6: Final answer
    x = 201,847.08

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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.