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Finding the Third Proportional to 53,448 and 115,462

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Solution

The third proportional to 53,448 and 115,462 is: 249,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,448 : 115,462 = 115,462 : x
  2. Step 2: Convert to fraction form
    53,448/115,462 = 115,462/x
  3. Step 3: Cross multiply
    53,448x = 115,462 × 115,462
  4. Step 4: Simplify right side
    53,448x = 13,331,473,444
  5. Step 5: Solve for x
    x = 13,331,473,444/53,448
  6. Step 6: Final answer
    x = 249,428.86

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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.