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Finding the Third Proportional to 53,442 and 115,450

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Solution

The third proportional to 53,442 and 115,450 is: 249,405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,442 : 115,450 = 115,450 : x
  2. Step 2: Convert to fraction form
    53,442/115,450 = 115,450/x
  3. Step 3: Cross multiply
    53,442x = 115,450 × 115,450
  4. Step 4: Simplify right side
    53,442x = 13,328,702,500
  5. Step 5: Solve for x
    x = 13,328,702,500/53,442
  6. Step 6: Final answer
    x = 249,405.01

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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.