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Finding the Third Proportional to 53,167 and 115,065

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Solution

The third proportional to 53,167 and 115,065 is: 249,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,167 : 115,065 = 115,065 : x
  2. Step 2: Convert to fraction form
    53,167/115,065 = 115,065/x
  3. Step 3: Cross multiply
    53,167x = 115,065 × 115,065
  4. Step 4: Simplify right side
    53,167x = 13,239,954,225
  5. Step 5: Solve for x
    x = 13,239,954,225/53,167
  6. Step 6: Final answer
    x = 249,025.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.