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Finding the Third Proportional to 73,804 and 152,860

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Solution

The third proportional to 73,804 and 152,860 is: 316,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,804 : 152,860 = 152,860 : x
  2. Step 2: Convert to fraction form
    73,804/152,860 = 152,860/x
  3. Step 3: Cross multiply
    73,804x = 152,860 × 152,860
  4. Step 4: Simplify right side
    73,804x = 23,366,179,600
  5. Step 5: Solve for x
    x = 23,366,179,600/73,804
  6. Step 6: Final answer
    x = 316,597.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.