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Finding the Third Proportional to 57,703 and 91,294

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Solution

The third proportional to 57,703 and 91,294 is: 144,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,703 : 91,294 = 91,294 : x
  2. Step 2: Convert to fraction form
    57,703/91,294 = 91,294/x
  3. Step 3: Cross multiply
    57,703x = 91,294 × 91,294
  4. Step 4: Simplify right side
    57,703x = 8,334,594,436
  5. Step 5: Solve for x
    x = 8,334,594,436/57,703
  6. Step 6: Final answer
    x = 144,439.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.