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Finding the Third Proportional to 61,163 and 94,040

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Solution

The third proportional to 61,163 and 94,040 is: 144,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,163 : 94,040 = 94,040 : x
  2. Step 2: Convert to fraction form
    61,163/94,040 = 94,040/x
  3. Step 3: Cross multiply
    61,163x = 94,040 × 94,040
  4. Step 4: Simplify right side
    61,163x = 8,843,521,600
  5. Step 5: Solve for x
    x = 8,843,521,600/61,163
  6. Step 6: Final answer
    x = 144,589.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.