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Finding the Third Proportional to 64,384 and 102,448

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Solution

The third proportional to 64,384 and 102,448 is: 163,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,384 : 102,448 = 102,448 : x
  2. Step 2: Convert to fraction form
    64,384/102,448 = 102,448/x
  3. Step 3: Cross multiply
    64,384x = 102,448 × 102,448
  4. Step 4: Simplify right side
    64,384x = 10,495,592,704
  5. Step 5: Solve for x
    x = 10,495,592,704/64,384
  6. Step 6: Final answer
    x = 163,015.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.