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Finding the Third Proportional to 64,964 and 140,290

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Solution

The third proportional to 64,964 and 140,290 is: 302,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,964 : 140,290 = 140,290 : x
  2. Step 2: Convert to fraction form
    64,964/140,290 = 140,290/x
  3. Step 3: Cross multiply
    64,964x = 140,290 × 140,290
  4. Step 4: Simplify right side
    64,964x = 19,681,284,100
  5. Step 5: Solve for x
    x = 19,681,284,100/64,964
  6. Step 6: Final answer
    x = 302,956.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.