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Finding the Third Proportional to 62,004 and 92,830

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Solution

The third proportional to 62,004 and 92,830 is: 138,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,004 : 92,830 = 92,830 : x
  2. Step 2: Convert to fraction form
    62,004/92,830 = 92,830/x
  3. Step 3: Cross multiply
    62,004x = 92,830 × 92,830
  4. Step 4: Simplify right side
    62,004x = 8,617,408,900
  5. Step 5: Solve for x
    x = 8,617,408,900/62,004
  6. Step 6: Final answer
    x = 138,981.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.