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Finding the Third Proportional to 53,547.33 and 117,604.72

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Solution

The third proportional to 53,547.33 and 117,604.72 is: 258,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,547.33 : 117,604.72 = 117,604.72 : x
  2. Step 2: Convert to fraction form
    53,547.33/117,604.72 = 117,604.72/x
  3. Step 3: Cross multiply
    53,547.33x = 117,604.72 × 117,604.72
  4. Step 4: Simplify right side
    53,547.33x = 13,830,870,791.05
  5. Step 5: Solve for x
    x = 13,830,870,791.05/53,547.33
  6. Step 6: Final answer
    x = 258,292.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.