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Finding the Third Proportional to 78,826.50 and 119,058

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Solution

The third proportional to 78,826.50 and 119,058 is: 179,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,826.50 : 119,058 = 119,058 : x
  2. Step 2: Convert to fraction form
    78,826.50/119,058 = 119,058/x
  3. Step 3: Cross multiply
    78,826.50x = 119,058 × 119,058
  4. Step 4: Simplify right side
    78,826.50x = 14,174,807,364
  5. Step 5: Solve for x
    x = 14,174,807,364/78,826.50
  6. Step 6: Final answer
    x = 179,822.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.