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Finding the Third Proportional to 58,503 and 94,214

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Solution

The third proportional to 58,503 and 94,214 is: 151,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,503 : 94,214 = 94,214 : x
  2. Step 2: Convert to fraction form
    58,503/94,214 = 94,214/x
  3. Step 3: Cross multiply
    58,503x = 94,214 × 94,214
  4. Step 4: Simplify right side
    58,503x = 8,876,277,796
  5. Step 5: Solve for x
    x = 8,876,277,796/58,503
  6. Step 6: Final answer
    x = 151,723.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.