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Finding the Third Proportional to 78,313.50 and 119,306

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Solution

The third proportional to 78,313.50 and 119,306 is: 181,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,313.50 : 119,306 = 119,306 : x
  2. Step 2: Convert to fraction form
    78,313.50/119,306 = 119,306/x
  3. Step 3: Cross multiply
    78,313.50x = 119,306 × 119,306
  4. Step 4: Simplify right side
    78,313.50x = 14,233,921,636
  5. Step 5: Solve for x
    x = 14,233,921,636/78,313.50
  6. Step 6: Final answer
    x = 181,755.66

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Why These Related Problems?

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