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Finding the Third Proportional to 78,782 and 117,899

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Solution

The third proportional to 78,782 and 117,899 is: 176,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,782 : 117,899 = 117,899 : x
  2. Step 2: Convert to fraction form
    78,782/117,899 = 117,899/x
  3. Step 3: Cross multiply
    78,782x = 117,899 × 117,899
  4. Step 4: Simplify right side
    78,782x = 13,900,174,201
  5. Step 5: Solve for x
    x = 13,900,174,201/78,782
  6. Step 6: Final answer
    x = 176,438.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.