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Finding the Third Proportional to 43,169 and 93,541

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Solution

The third proportional to 43,169 and 93,541 is: 202,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,169 : 93,541 = 93,541 : x
  2. Step 2: Convert to fraction form
    43,169/93,541 = 93,541/x
  3. Step 3: Cross multiply
    43,169x = 93,541 × 93,541
  4. Step 4: Simplify right side
    43,169x = 8,749,918,681
  5. Step 5: Solve for x
    x = 8,749,918,681/43,169
  6. Step 6: Final answer
    x = 202,689.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.