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Finding the Third Proportional to 82,849.50 and 129,605.06

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Solution

The third proportional to 82,849.50 and 129,605.06 is: 202,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,849.50 : 129,605.06 = 129,605.06 : x
  2. Step 2: Convert to fraction form
    82,849.50/129,605.06 = 129,605.06/x
  3. Step 3: Cross multiply
    82,849.50x = 129,605.06 × 129,605.06
  4. Step 4: Simplify right side
    82,849.50x = 16,797,472,225.63
  5. Step 5: Solve for x
    x = 16,797,472,225.63/82,849.50
  6. Step 6: Final answer
    x = 202,746.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.