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Finding the Third Proportional to 32,123 and 51,155

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Solution

The third proportional to 32,123 and 51,155 is: 81,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123 : 51,155 = 51,155 : x
  2. Step 2: Convert to fraction form
    32,123/51,155 = 51,155/x
  3. Step 3: Cross multiply
    32,123x = 51,155 × 51,155
  4. Step 4: Simplify right side
    32,123x = 2,616,834,025
  5. Step 5: Solve for x
    x = 2,616,834,025/32,123
  6. Step 6: Final answer
    x = 81,462.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.