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Finding the Third Proportional to 42,155 and 88,182

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Solution

The third proportional to 42,155 and 88,182 is: 184,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,155 : 88,182 = 88,182 : x
  2. Step 2: Convert to fraction form
    42,155/88,182 = 88,182/x
  3. Step 3: Cross multiply
    42,155x = 88,182 × 88,182
  4. Step 4: Simplify right side
    42,155x = 7,776,065,124
  5. Step 5: Solve for x
    x = 7,776,065,124/42,155
  6. Step 6: Final answer
    x = 184,463.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.