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Finding the Third Proportional to 73,050 and 151,716

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Solution

The third proportional to 73,050 and 151,716 is: 315,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,050 : 151,716 = 151,716 : x
  2. Step 2: Convert to fraction form
    73,050/151,716 = 151,716/x
  3. Step 3: Cross multiply
    73,050x = 151,716 × 151,716
  4. Step 4: Simplify right side
    73,050x = 23,017,744,656
  5. Step 5: Solve for x
    x = 23,017,744,656/73,050
  6. Step 6: Final answer
    x = 315,095.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.