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Finding the Third Proportional to 55,085.06 and 119,328.19

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Solution

The third proportional to 55,085.06 and 119,328.19 is: 258,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,085.06 : 119,328.19 = 119,328.19 : x
  2. Step 2: Convert to fraction form
    55,085.06/119,328.19 = 119,328.19/x
  3. Step 3: Cross multiply
    55,085.06x = 119,328.19 × 119,328.19
  4. Step 4: Simplify right side
    55,085.06x = 14,239,216,332.04
  5. Step 5: Solve for x
    x = 14,239,216,332.04/55,085.06
  6. Step 6: Final answer
    x = 258,495.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.