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Finding the Third Proportional to 57,339 and 88,565

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Solution

The third proportional to 57,339 and 88,565 is: 136,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,339 : 88,565 = 88,565 : x
  2. Step 2: Convert to fraction form
    57,339/88,565 = 88,565/x
  3. Step 3: Cross multiply
    57,339x = 88,565 × 88,565
  4. Step 4: Simplify right side
    57,339x = 7,843,759,225
  5. Step 5: Solve for x
    x = 7,843,759,225/57,339
  6. Step 6: Final answer
    x = 136,796.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.