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Finding the Third Proportional to 76,303.50 and 159,577.13

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Solution

The third proportional to 76,303.50 and 159,577.13 is: 333,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,303.50 : 159,577.13 = 159,577.13 : x
  2. Step 2: Convert to fraction form
    76,303.50/159,577.13 = 159,577.13/x
  3. Step 3: Cross multiply
    76,303.50x = 159,577.13 × 159,577.13
  4. Step 4: Simplify right side
    76,303.50x = 25,464,858,823.27
  5. Step 5: Solve for x
    x = 25,464,858,823.27/76,303.50
  6. Step 6: Final answer
    x = 333,731.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.