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Finding the Third Proportional to 64,412 and 102,216

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Solution

The third proportional to 64,412 and 102,216 is: 162,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,412 : 102,216 = 102,216 : x
  2. Step 2: Convert to fraction form
    64,412/102,216 = 102,216/x
  3. Step 3: Cross multiply
    64,412x = 102,216 × 102,216
  4. Step 4: Simplify right side
    64,412x = 10,448,110,656
  5. Step 5: Solve for x
    x = 10,448,110,656/64,412
  6. Step 6: Final answer
    x = 162,207.52

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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.