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Finding the Third Proportional to 43,259 and 63,214

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Solution

The third proportional to 43,259 and 63,214 is: 92,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,259 : 63,214 = 63,214 : x
  2. Step 2: Convert to fraction form
    43,259/63,214 = 63,214/x
  3. Step 3: Cross multiply
    43,259x = 63,214 × 63,214
  4. Step 4: Simplify right side
    43,259x = 3,996,009,796
  5. Step 5: Solve for x
    x = 3,996,009,796/43,259
  6. Step 6: Final answer
    x = 92,374.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.