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Finding the Third Proportional to 92,634 and 188,541

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Solution

The third proportional to 92,634 and 188,541 is: 383,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,634 : 188,541 = 188,541 : x
  2. Step 2: Convert to fraction form
    92,634/188,541 = 188,541/x
  3. Step 3: Cross multiply
    92,634x = 188,541 × 188,541
  4. Step 4: Simplify right side
    92,634x = 35,547,708,681
  5. Step 5: Solve for x
    x = 35,547,708,681/92,634
  6. Step 6: Final answer
    x = 383,743.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.