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Finding the Third Proportional to 51,972 and 112,259

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Solution

The third proportional to 51,972 and 112,259 is: 242,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972 : 112,259 = 112,259 : x
  2. Step 2: Convert to fraction form
    51,972/112,259 = 112,259/x
  3. Step 3: Cross multiply
    51,972x = 112,259 × 112,259
  4. Step 4: Simplify right side
    51,972x = 12,602,083,081
  5. Step 5: Solve for x
    x = 12,602,083,081/51,972
  6. Step 6: Final answer
    x = 242,478.32

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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.