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Finding the Third Proportional to 55,664.09 and 121,319.02

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Solution

The third proportional to 55,664.09 and 121,319.02 is: 264,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,664.09 : 121,319.02 = 121,319.02 : x
  2. Step 2: Convert to fraction form
    55,664.09/121,319.02 = 121,319.02/x
  3. Step 3: Cross multiply
    55,664.09x = 121,319.02 × 121,319.02
  4. Step 4: Simplify right side
    55,664.09x = 14,718,303,552.22
  5. Step 5: Solve for x
    x = 14,718,303,552.22/55,664.09
  6. Step 6: Final answer
    x = 264,412.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.