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Finding the Third Proportional to 42,730 and 93,517

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Solution

The third proportional to 42,730 and 93,517 is: 204,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,730 : 93,517 = 93,517 : x
  2. Step 2: Convert to fraction form
    42,730/93,517 = 93,517/x
  3. Step 3: Cross multiply
    42,730x = 93,517 × 93,517
  4. Step 4: Simplify right side
    42,730x = 8,745,429,289
  5. Step 5: Solve for x
    x = 8,745,429,289/42,730
  6. Step 6: Final answer
    x = 204,667.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.