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Finding the Third Proportional to 52,339 and 113,454

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Solution

The third proportional to 52,339 and 113,454 is: 245,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,339 : 113,454 = 113,454 : x
  2. Step 2: Convert to fraction form
    52,339/113,454 = 113,454/x
  3. Step 3: Cross multiply
    52,339x = 113,454 × 113,454
  4. Step 4: Simplify right side
    52,339x = 12,871,810,116
  5. Step 5: Solve for x
    x = 12,871,810,116/52,339
  6. Step 6: Final answer
    x = 245,931.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.