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Finding the Third Proportional to 76,623.75 and 119,593.13

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Solution

The third proportional to 76,623.75 and 119,593.13 is: 186,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,623.75 : 119,593.13 = 119,593.13 : x
  2. Step 2: Convert to fraction form
    76,623.75/119,593.13 = 119,593.13/x
  3. Step 3: Cross multiply
    76,623.75x = 119,593.13 × 119,593.13
  4. Step 4: Simplify right side
    76,623.75x = 14,302,515,547.27
  5. Step 5: Solve for x
    x = 14,302,515,547.27/76,623.75
  6. Step 6: Final answer
    x = 186,659.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.