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Finding the Third Proportional to 68,061 and 147,066

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Solution

The third proportional to 68,061 and 147,066 is: 317,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,061 : 147,066 = 147,066 : x
  2. Step 2: Convert to fraction form
    68,061/147,066 = 147,066/x
  3. Step 3: Cross multiply
    68,061x = 147,066 × 147,066
  4. Step 4: Simplify right side
    68,061x = 21,628,408,356
  5. Step 5: Solve for x
    x = 21,628,408,356/68,061
  6. Step 6: Final answer
    x = 317,779.76

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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.