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Finding the Third Proportional to 42,259 and 93,253

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Solution

The third proportional to 42,259 and 93,253 is: 205,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,259 : 93,253 = 93,253 : x
  2. Step 2: Convert to fraction form
    42,259/93,253 = 93,253/x
  3. Step 3: Cross multiply
    42,259x = 93,253 × 93,253
  4. Step 4: Simplify right side
    42,259x = 8,696,122,009
  5. Step 5: Solve for x
    x = 8,696,122,009/42,259
  6. Step 6: Final answer
    x = 205,781.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.