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Finding the Third Proportional to 64,424 and 92,791

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Solution

The third proportional to 64,424 and 92,791 is: 133,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,424 : 92,791 = 92,791 : x
  2. Step 2: Convert to fraction form
    64,424/92,791 = 92,791/x
  3. Step 3: Cross multiply
    64,424x = 92,791 × 92,791
  4. Step 4: Simplify right side
    64,424x = 8,610,169,681
  5. Step 5: Solve for x
    x = 8,610,169,681/64,424
  6. Step 6: Final answer
    x = 133,648.48

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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.