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Finding the Third Proportional to 64,214 and 97,439

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Solution

The third proportional to 64,214 and 97,439 is: 147,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,214 : 97,439 = 97,439 : x
  2. Step 2: Convert to fraction form
    64,214/97,439 = 97,439/x
  3. Step 3: Cross multiply
    64,214x = 97,439 × 97,439
  4. Step 4: Simplify right side
    64,214x = 9,494,358,721
  5. Step 5: Solve for x
    x = 9,494,358,721/64,214
  6. Step 6: Final answer
    x = 147,854.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.