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Finding the Third Proportional to 82,220 and 130,071

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Solution

The third proportional to 82,220 and 130,071 is: 205,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,220 : 130,071 = 130,071 : x
  2. Step 2: Convert to fraction form
    82,220/130,071 = 130,071/x
  3. Step 3: Cross multiply
    82,220x = 130,071 × 130,071
  4. Step 4: Simplify right side
    82,220x = 16,918,465,041
  5. Step 5: Solve for x
    x = 16,918,465,041/82,220
  6. Step 6: Final answer
    x = 205,770.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.