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Finding the Third Proportional to 59,436 and 92,328

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Solution

The third proportional to 59,436 and 92,328 is: 143,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,436 : 92,328 = 92,328 : x
  2. Step 2: Convert to fraction form
    59,436/92,328 = 92,328/x
  3. Step 3: Cross multiply
    59,436x = 92,328 × 92,328
  4. Step 4: Simplify right side
    59,436x = 8,524,459,584
  5. Step 5: Solve for x
    x = 8,524,459,584/59,436
  6. Step 6: Final answer
    x = 143,422.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.