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Finding the Third Proportional to 77,658 and 116,367

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Solution

The third proportional to 77,658 and 116,367 is: 174,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658 : 116,367 = 116,367 : x
  2. Step 2: Convert to fraction form
    77,658/116,367 = 116,367/x
  3. Step 3: Cross multiply
    77,658x = 116,367 × 116,367
  4. Step 4: Simplify right side
    77,658x = 13,541,278,689
  5. Step 5: Solve for x
    x = 13,541,278,689/77,658
  6. Step 6: Final answer
    x = 174,370.69

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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.