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Finding the Third Proportional to 77,585 and 118,634

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Solution

The third proportional to 77,585 and 118,634 is: 181,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,585 : 118,634 = 118,634 : x
  2. Step 2: Convert to fraction form
    77,585/118,634 = 118,634/x
  3. Step 3: Cross multiply
    77,585x = 118,634 × 118,634
  4. Step 4: Simplify right side
    77,585x = 14,074,025,956
  5. Step 5: Solve for x
    x = 14,074,025,956/77,585
  6. Step 6: Final answer
    x = 181,401.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.