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Finding the Third Proportional to 57,246 and 84,214

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Solution

The third proportional to 57,246 and 84,214 is: 123,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,246 : 84,214 = 84,214 : x
  2. Step 2: Convert to fraction form
    57,246/84,214 = 84,214/x
  3. Step 3: Cross multiply
    57,246x = 84,214 × 84,214
  4. Step 4: Simplify right side
    57,246x = 7,091,997,796
  5. Step 5: Solve for x
    x = 7,091,997,796/57,246
  6. Step 6: Final answer
    x = 123,886.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.