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Finding the Third Proportional to 72,444.38 and 111,942

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Solution

The third proportional to 72,444.38 and 111,942 is: 172,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,444.38 : 111,942 = 111,942 : x
  2. Step 2: Convert to fraction form
    72,444.38/111,942 = 111,942/x
  3. Step 3: Cross multiply
    72,444.38x = 111,942 × 111,942
  4. Step 4: Simplify right side
    72,444.38x = 12,531,011,364
  5. Step 5: Solve for x
    x = 12,531,011,364/72,444.38
  6. Step 6: Final answer
    x = 172,974.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.