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Finding the Third Proportional to 64,054 and 102,919

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Solution

The third proportional to 64,054 and 102,919 is: 165,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,054 : 102,919 = 102,919 : x
  2. Step 2: Convert to fraction form
    64,054/102,919 = 102,919/x
  3. Step 3: Cross multiply
    64,054x = 102,919 × 102,919
  4. Step 4: Simplify right side
    64,054x = 10,592,320,561
  5. Step 5: Solve for x
    x = 10,592,320,561/64,054
  6. Step 6: Final answer
    x = 165,365.48

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.