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Finding the Third Proportional to 77,184 and 116,595

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Solution

The third proportional to 77,184 and 116,595 is: 176,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,184 : 116,595 = 116,595 : x
  2. Step 2: Convert to fraction form
    77,184/116,595 = 116,595/x
  3. Step 3: Cross multiply
    77,184x = 116,595 × 116,595
  4. Step 4: Simplify right side
    77,184x = 13,594,394,025
  5. Step 5: Solve for x
    x = 13,594,394,025/77,184
  6. Step 6: Final answer
    x = 176,129.69

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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.