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Finding the Third Proportional to 64,051 and 102,322

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Solution

The third proportional to 64,051 and 102,322 is: 163,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,051 : 102,322 = 102,322 : x
  2. Step 2: Convert to fraction form
    64,051/102,322 = 102,322/x
  3. Step 3: Cross multiply
    64,051x = 102,322 × 102,322
  4. Step 4: Simplify right side
    64,051x = 10,469,791,684
  5. Step 5: Solve for x
    x = 10,469,791,684/64,051
  6. Step 6: Final answer
    x = 163,460.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.