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Finding the Third Proportional to 42,685 and 93,251

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Solution

The third proportional to 42,685 and 93,251 is: 203,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,685 : 93,251 = 93,251 : x
  2. Step 2: Convert to fraction form
    42,685/93,251 = 93,251/x
  3. Step 3: Cross multiply
    42,685x = 93,251 × 93,251
  4. Step 4: Simplify right side
    42,685x = 8,695,749,001
  5. Step 5: Solve for x
    x = 8,695,749,001/42,685
  6. Step 6: Final answer
    x = 203,719.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.