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Finding the Third Proportional to 59,328 and 92,397

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Solution

The third proportional to 59,328 and 92,397 is: 143,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,328 : 92,397 = 92,397 : x
  2. Step 2: Convert to fraction form
    59,328/92,397 = 92,397/x
  3. Step 3: Cross multiply
    59,328x = 92,397 × 92,397
  4. Step 4: Simplify right side
    59,328x = 8,537,205,609
  5. Step 5: Solve for x
    x = 8,537,205,609/59,328
  6. Step 6: Final answer
    x = 143,898.42

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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.