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Finding the Third Proportional to 78,346.13 and 119,355.75

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Solution

The third proportional to 78,346.13 and 119,355.75 is: 181,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,346.13 : 119,355.75 = 119,355.75 : x
  2. Step 2: Convert to fraction form
    78,346.13/119,355.75 = 119,355.75/x
  3. Step 3: Cross multiply
    78,346.13x = 119,355.75 × 119,355.75
  4. Step 4: Simplify right side
    78,346.13x = 14,245,795,058.06
  5. Step 5: Solve for x
    x = 14,245,795,058.06/78,346.13
  6. Step 6: Final answer
    x = 181,831.52

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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.