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Finding the Third Proportional to 73,168 and 112,791

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Solution

The third proportional to 73,168 and 112,791 is: 173,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,168 : 112,791 = 112,791 : x
  2. Step 2: Convert to fraction form
    73,168/112,791 = 112,791/x
  3. Step 3: Cross multiply
    73,168x = 112,791 × 112,791
  4. Step 4: Simplify right side
    73,168x = 12,721,809,681
  5. Step 5: Solve for x
    x = 12,721,809,681/73,168
  6. Step 6: Final answer
    x = 173,871.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.