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Finding the Third Proportional to 61,184 and 94,112

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Solution

The third proportional to 61,184 and 94,112 is: 144,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,184 : 94,112 = 94,112 : x
  2. Step 2: Convert to fraction form
    61,184/94,112 = 94,112/x
  3. Step 3: Cross multiply
    61,184x = 94,112 × 94,112
  4. Step 4: Simplify right side
    61,184x = 8,857,068,544
  5. Step 5: Solve for x
    x = 8,857,068,544/61,184
  6. Step 6: Final answer
    x = 144,761.19

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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.