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Finding the Third Proportional to 42,158 and 88,210

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Solution

The third proportional to 42,158 and 88,210 is: 184,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,158 : 88,210 = 88,210 : x
  2. Step 2: Convert to fraction form
    42,158/88,210 = 88,210/x
  3. Step 3: Cross multiply
    42,158x = 88,210 × 88,210
  4. Step 4: Simplify right side
    42,158x = 7,781,004,100
  5. Step 5: Solve for x
    x = 7,781,004,100/42,158
  6. Step 6: Final answer
    x = 184,567.68

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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.