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Finding the Third Proportional to 52,132 and 113,944

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Solution

The third proportional to 52,132 and 113,944 is: 249,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,132 : 113,944 = 113,944 : x
  2. Step 2: Convert to fraction form
    52,132/113,944 = 113,944/x
  3. Step 3: Cross multiply
    52,132x = 113,944 × 113,944
  4. Step 4: Simplify right side
    52,132x = 12,983,235,136
  5. Step 5: Solve for x
    x = 12,983,235,136/52,132
  6. Step 6: Final answer
    x = 249,045.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.