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Finding the Third Proportional to 64,017 and 92,212.50

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Solution

The third proportional to 64,017 and 92,212.50 is: 132,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,017 : 92,212.50 = 92,212.50 : x
  2. Step 2: Convert to fraction form
    64,017/92,212.50 = 92,212.50/x
  3. Step 3: Cross multiply
    64,017x = 92,212.50 × 92,212.50
  4. Step 4: Simplify right side
    64,017x = 8,503,145,156.25
  5. Step 5: Solve for x
    x = 8,503,145,156.25/64,017
  6. Step 6: Final answer
    x = 132,826.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.