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Finding the Third Proportional to 43,020 and 92,959

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Solution

The third proportional to 43,020 and 92,959 is: 200,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,020 : 92,959 = 92,959 : x
  2. Step 2: Convert to fraction form
    43,020/92,959 = 92,959/x
  3. Step 3: Cross multiply
    43,020x = 92,959 × 92,959
  4. Step 4: Simplify right side
    43,020x = 8,641,375,681
  5. Step 5: Solve for x
    x = 8,641,375,681/43,020
  6. Step 6: Final answer
    x = 200,868.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.