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Finding the Third Proportional to 43,214 and 64,862

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Solution

The third proportional to 43,214 and 64,862 is: 97,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,214 : 64,862 = 64,862 : x
  2. Step 2: Convert to fraction form
    43,214/64,862 = 64,862/x
  3. Step 3: Cross multiply
    43,214x = 64,862 × 64,862
  4. Step 4: Simplify right side
    43,214x = 4,207,079,044
  5. Step 5: Solve for x
    x = 4,207,079,044/43,214
  6. Step 6: Final answer
    x = 97,354.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.