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Finding the Third Proportional to 42,210 and 92,262

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Solution

The third proportional to 42,210 and 92,262 is: 201,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,210 : 92,262 = 92,262 : x
  2. Step 2: Convert to fraction form
    42,210/92,262 = 92,262/x
  3. Step 3: Cross multiply
    42,210x = 92,262 × 92,262
  4. Step 4: Simplify right side
    42,210x = 8,512,276,644
  5. Step 5: Solve for x
    x = 8,512,276,644/42,210
  6. Step 6: Final answer
    x = 201,664.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.