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Finding the Third Proportional to 71,398 and 94,774

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Solution

The third proportional to 71,398 and 94,774 is: 125,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,398 : 94,774 = 94,774 : x
  2. Step 2: Convert to fraction form
    71,398/94,774 = 94,774/x
  3. Step 3: Cross multiply
    71,398x = 94,774 × 94,774
  4. Step 4: Simplify right side
    71,398x = 8,982,111,076
  5. Step 5: Solve for x
    x = 8,982,111,076/71,398
  6. Step 6: Final answer
    x = 125,803.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.