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Finding the Third Proportional to 53,464.69 and 114,827.06

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Solution

The third proportional to 53,464.69 and 114,827.06 is: 246,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,464.69 : 114,827.06 = 114,827.06 : x
  2. Step 2: Convert to fraction form
    53,464.69/114,827.06 = 114,827.06/x
  3. Step 3: Cross multiply
    53,464.69x = 114,827.06 × 114,827.06
  4. Step 4: Simplify right side
    53,464.69x = 13,185,254,282.38
  5. Step 5: Solve for x
    x = 13,185,254,282.38/53,464.69
  6. Step 6: Final answer
    x = 246,616.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.