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Finding the Third Proportional to 55,854.50 and 119,705

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Solution

The third proportional to 55,854.50 and 119,705 is: 256,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854.50 : 119,705 = 119,705 : x
  2. Step 2: Convert to fraction form
    55,854.50/119,705 = 119,705/x
  3. Step 3: Cross multiply
    55,854.50x = 119,705 × 119,705
  4. Step 4: Simplify right side
    55,854.50x = 14,329,287,025
  5. Step 5: Solve for x
    x = 14,329,287,025/55,854.50
  6. Step 6: Final answer
    x = 256,546.69

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