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Finding the Third Proportional to 51,952 and 78,278

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Solution

The third proportional to 51,952 and 78,278 is: 117,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952 : 78,278 = 78,278 : x
  2. Step 2: Convert to fraction form
    51,952/78,278 = 78,278/x
  3. Step 3: Cross multiply
    51,952x = 78,278 × 78,278
  4. Step 4: Simplify right side
    51,952x = 6,127,445,284
  5. Step 5: Solve for x
    x = 6,127,445,284/51,952
  6. Step 6: Final answer
    x = 117,944.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.