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Finding the Third Proportional to 76,974 and 168,060

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Solution

The third proportional to 76,974 and 168,060 is: 366,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,974 : 168,060 = 168,060 : x
  2. Step 2: Convert to fraction form
    76,974/168,060 = 168,060/x
  3. Step 3: Cross multiply
    76,974x = 168,060 × 168,060
  4. Step 4: Simplify right side
    76,974x = 28,244,163,600
  5. Step 5: Solve for x
    x = 28,244,163,600/76,974
  6. Step 6: Final answer
    x = 366,931.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.