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Finding the Third Proportional to 73,465.50 and 109,118

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Solution

The third proportional to 73,465.50 and 109,118 is: 162,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,465.50 : 109,118 = 109,118 : x
  2. Step 2: Convert to fraction form
    73,465.50/109,118 = 109,118/x
  3. Step 3: Cross multiply
    73,465.50x = 109,118 × 109,118
  4. Step 4: Simplify right side
    73,465.50x = 11,906,737,924
  5. Step 5: Solve for x
    x = 11,906,737,924/73,465.50
  6. Step 6: Final answer
    x = 162,072.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.