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Finding the Third Proportional to 82,850 and 130,179

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Solution

The third proportional to 82,850 and 130,179 is: 204,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,850 : 130,179 = 130,179 : x
  2. Step 2: Convert to fraction form
    82,850/130,179 = 130,179/x
  3. Step 3: Cross multiply
    82,850x = 130,179 × 130,179
  4. Step 4: Simplify right side
    82,850x = 16,946,572,041
  5. Step 5: Solve for x
    x = 16,946,572,041/82,850
  6. Step 6: Final answer
    x = 204,545.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.