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Finding the Third Proportional to 57,970 and 92,214

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Solution

The third proportional to 57,970 and 92,214 is: 146,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,970 : 92,214 = 92,214 : x
  2. Step 2: Convert to fraction form
    57,970/92,214 = 92,214/x
  3. Step 3: Cross multiply
    57,970x = 92,214 × 92,214
  4. Step 4: Simplify right side
    57,970x = 8,503,421,796
  5. Step 5: Solve for x
    x = 8,503,421,796/57,970
  6. Step 6: Final answer
    x = 146,686.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.