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Finding the Third Proportional to 77,518 and 118,511

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Solution

The third proportional to 77,518 and 118,511 is: 181,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,518 : 118,511 = 118,511 : x
  2. Step 2: Convert to fraction form
    77,518/118,511 = 118,511/x
  3. Step 3: Cross multiply
    77,518x = 118,511 × 118,511
  4. Step 4: Simplify right side
    77,518x = 14,044,857,121
  5. Step 5: Solve for x
    x = 14,044,857,121/77,518
  6. Step 6: Final answer
    x = 181,181.88

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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.