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Finding the Third Proportional to 42,774 and 93,300

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Solution

The third proportional to 42,774 and 93,300 is: 203,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,774 : 93,300 = 93,300 : x
  2. Step 2: Convert to fraction form
    42,774/93,300 = 93,300/x
  3. Step 3: Cross multiply
    42,774x = 93,300 × 93,300
  4. Step 4: Simplify right side
    42,774x = 8,704,890,000
  5. Step 5: Solve for x
    x = 8,704,890,000/42,774
  6. Step 6: Final answer
    x = 203,508.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.