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Finding the Third Proportional to 53,442 and 117,606

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Solution

The third proportional to 53,442 and 117,606 is: 258,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,442 : 117,606 = 117,606 : x
  2. Step 2: Convert to fraction form
    53,442/117,606 = 117,606/x
  3. Step 3: Cross multiply
    53,442x = 117,606 × 117,606
  4. Step 4: Simplify right side
    53,442x = 13,831,171,236
  5. Step 5: Solve for x
    x = 13,831,171,236/53,442
  6. Step 6: Final answer
    x = 258,807.14

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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.