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Finding the Third Proportional to 59,382 and 92,357

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Solution

The third proportional to 59,382 and 92,357 is: 143,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,382 : 92,357 = 92,357 : x
  2. Step 2: Convert to fraction form
    59,382/92,357 = 92,357/x
  3. Step 3: Cross multiply
    59,382x = 92,357 × 92,357
  4. Step 4: Simplify right side
    59,382x = 8,529,815,449
  5. Step 5: Solve for x
    x = 8,529,815,449/59,382
  6. Step 6: Final answer
    x = 143,643.11

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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.