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Finding the Third Proportional to 55,856.50 and 119,707.75

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Solution

The third proportional to 55,856.50 and 119,707.75 is: 256,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,856.50 : 119,707.75 = 119,707.75 : x
  2. Step 2: Convert to fraction form
    55,856.50/119,707.75 = 119,707.75/x
  3. Step 3: Cross multiply
    55,856.50x = 119,707.75 × 119,707.75
  4. Step 4: Simplify right side
    55,856.50x = 14,329,945,410.06
  5. Step 5: Solve for x
    x = 14,329,945,410.06/55,856.50
  6. Step 6: Final answer
    x = 256,549.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.