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Finding the Third Proportional to 82,331 and 130,926

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Solution

The third proportional to 82,331 and 130,926 is: 208,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,331 : 130,926 = 130,926 : x
  2. Step 2: Convert to fraction form
    82,331/130,926 = 130,926/x
  3. Step 3: Cross multiply
    82,331x = 130,926 × 130,926
  4. Step 4: Simplify right side
    82,331x = 17,141,617,476
  5. Step 5: Solve for x
    x = 17,141,617,476/82,331
  6. Step 6: Final answer
    x = 208,203.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.