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Finding the Third Proportional to 72,759 and 162,528

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Solution

The third proportional to 72,759 and 162,528 is: 363,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,759 : 162,528 = 162,528 : x
  2. Step 2: Convert to fraction form
    72,759/162,528 = 162,528/x
  3. Step 3: Cross multiply
    72,759x = 162,528 × 162,528
  4. Step 4: Simplify right side
    72,759x = 26,415,350,784
  5. Step 5: Solve for x
    x = 26,415,350,784/72,759
  6. Step 6: Final answer
    x = 363,052.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.