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Finding the Third Proportional to 27,368 and 59,112

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Solution

The third proportional to 27,368 and 59,112 is: 127,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,368 : 59,112 = 59,112 : x
  2. Step 2: Convert to fraction form
    27,368/59,112 = 59,112/x
  3. Step 3: Cross multiply
    27,368x = 59,112 × 59,112
  4. Step 4: Simplify right side
    27,368x = 3,494,228,544
  5. Step 5: Solve for x
    x = 3,494,228,544/27,368
  6. Step 6: Final answer
    x = 127,675.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.