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Finding the Third Proportional to 52,681.50 and 114,147

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Solution

The third proportional to 52,681.50 and 114,147 is: 247,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,681.50 : 114,147 = 114,147 : x
  2. Step 2: Convert to fraction form
    52,681.50/114,147 = 114,147/x
  3. Step 3: Cross multiply
    52,681.50x = 114,147 × 114,147
  4. Step 4: Simplify right side
    52,681.50x = 13,029,537,609
  5. Step 5: Solve for x
    x = 13,029,537,609/52,681.50
  6. Step 6: Final answer
    x = 247,326.63

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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.