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Finding the Third Proportional to 59,824 and 92,898

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Solution

The third proportional to 59,824 and 92,898 is: 144,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,824 : 92,898 = 92,898 : x
  2. Step 2: Convert to fraction form
    59,824/92,898 = 92,898/x
  3. Step 3: Cross multiply
    59,824x = 92,898 × 92,898
  4. Step 4: Simplify right side
    59,824x = 8,630,038,404
  5. Step 5: Solve for x
    x = 8,630,038,404/59,824
  6. Step 6: Final answer
    x = 144,257.13

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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.