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Finding the Third Proportional to 53,547.19 and 116,326.69

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Solution

The third proportional to 53,547.19 and 116,326.69 is: 252,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,547.19 : 116,326.69 = 116,326.69 : x
  2. Step 2: Convert to fraction form
    53,547.19/116,326.69 = 116,326.69/x
  3. Step 3: Cross multiply
    53,547.19x = 116,326.69 × 116,326.69
  4. Step 4: Simplify right side
    53,547.19x = 13,531,898,224.72
  5. Step 5: Solve for x
    x = 13,531,898,224.72/53,547.19
  6. Step 6: Final answer
    x = 252,709.78

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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.