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Finding the Third Proportional to 51,532 and 112,888

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Solution

The third proportional to 51,532 and 112,888 is: 247,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,532 : 112,888 = 112,888 : x
  2. Step 2: Convert to fraction form
    51,532/112,888 = 112,888/x
  3. Step 3: Cross multiply
    51,532x = 112,888 × 112,888
  4. Step 4: Simplify right side
    51,532x = 12,743,700,544
  5. Step 5: Solve for x
    x = 12,743,700,544/51,532
  6. Step 6: Final answer
    x = 247,296.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.