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Finding the Third Proportional to 64,392 and 102,460

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Solution

The third proportional to 64,392 and 102,460 is: 163,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,392 : 102,460 = 102,460 : x
  2. Step 2: Convert to fraction form
    64,392/102,460 = 102,460/x
  3. Step 3: Cross multiply
    64,392x = 102,460 × 102,460
  4. Step 4: Simplify right side
    64,392x = 10,498,051,600
  5. Step 5: Solve for x
    x = 10,498,051,600/64,392
  6. Step 6: Final answer
    x = 163,033.48

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