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Finding the Third Proportional to 72,123 and 111,963

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Solution

The third proportional to 72,123 and 111,963 is: 173,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,123 : 111,963 = 111,963 : x
  2. Step 2: Convert to fraction form
    72,123/111,963 = 111,963/x
  3. Step 3: Cross multiply
    72,123x = 111,963 × 111,963
  4. Step 4: Simplify right side
    72,123x = 12,535,713,369
  5. Step 5: Solve for x
    x = 12,535,713,369/72,123
  6. Step 6: Final answer
    x = 173,810.20

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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.