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Finding the Third Proportional to 60,110 and 94,291

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Solution

The third proportional to 60,110 and 94,291 is: 147,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,110 : 94,291 = 94,291 : x
  2. Step 2: Convert to fraction form
    60,110/94,291 = 94,291/x
  3. Step 3: Cross multiply
    60,110x = 94,291 × 94,291
  4. Step 4: Simplify right side
    60,110x = 8,890,792,681
  5. Step 5: Solve for x
    x = 8,890,792,681/60,110
  6. Step 6: Final answer
    x = 147,908.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.