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Finding the Third Proportional to 78,772 and 119,614

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Solution

The third proportional to 78,772 and 119,614 is: 181,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,772 : 119,614 = 119,614 : x
  2. Step 2: Convert to fraction form
    78,772/119,614 = 119,614/x
  3. Step 3: Cross multiply
    78,772x = 119,614 × 119,614
  4. Step 4: Simplify right side
    78,772x = 14,307,508,996
  5. Step 5: Solve for x
    x = 14,307,508,996/78,772
  6. Step 6: Final answer
    x = 181,631.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.