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Finding the Third Proportional to 64,742 and 141,252

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Solution

The third proportional to 64,742 and 141,252 is: 308,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,742 : 141,252 = 141,252 : x
  2. Step 2: Convert to fraction form
    64,742/141,252 = 141,252/x
  3. Step 3: Cross multiply
    64,742x = 141,252 × 141,252
  4. Step 4: Simplify right side
    64,742x = 19,952,127,504
  5. Step 5: Solve for x
    x = 19,952,127,504/64,742
  6. Step 6: Final answer
    x = 308,179.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.