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Finding the Third Proportional to 76,598 and 117,711

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Solution

The third proportional to 76,598 and 117,711 is: 180,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,598 : 117,711 = 117,711 : x
  2. Step 2: Convert to fraction form
    76,598/117,711 = 117,711/x
  3. Step 3: Cross multiply
    76,598x = 117,711 × 117,711
  4. Step 4: Simplify right side
    76,598x = 13,855,879,521
  5. Step 5: Solve for x
    x = 13,855,879,521/76,598
  6. Step 6: Final answer
    x = 180,890.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.