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Finding the Third Proportional to 83,172 and 122,202

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Solution

The third proportional to 83,172 and 122,202 is: 179,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,172 : 122,202 = 122,202 : x
  2. Step 2: Convert to fraction form
    83,172/122,202 = 122,202/x
  3. Step 3: Cross multiply
    83,172x = 122,202 × 122,202
  4. Step 4: Simplify right side
    83,172x = 14,933,328,804
  5. Step 5: Solve for x
    x = 14,933,328,804/83,172
  6. Step 6: Final answer
    x = 179,547.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.