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Finding the Third Proportional to 58,468 and 91,286

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Solution

The third proportional to 58,468 and 91,286 is: 142,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,468 : 91,286 = 91,286 : x
  2. Step 2: Convert to fraction form
    58,468/91,286 = 91,286/x
  3. Step 3: Cross multiply
    58,468x = 91,286 × 91,286
  4. Step 4: Simplify right side
    58,468x = 8,333,133,796
  5. Step 5: Solve for x
    x = 8,333,133,796/58,468
  6. Step 6: Final answer
    x = 142,524.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.