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Finding the Third Proportional to 43,265 and 93,442

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Solution

The third proportional to 43,265 and 93,442 is: 201,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,265 : 93,442 = 93,442 : x
  2. Step 2: Convert to fraction form
    43,265/93,442 = 93,442/x
  3. Step 3: Cross multiply
    43,265x = 93,442 × 93,442
  4. Step 4: Simplify right side
    43,265x = 8,731,407,364
  5. Step 5: Solve for x
    x = 8,731,407,364/43,265
  6. Step 6: Final answer
    x = 201,812.26

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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.