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Finding the Third Proportional to 39,123 and 55,905.19

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Solution

The third proportional to 39,123 and 55,905.19 is: 79,886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,123 : 55,905.19 = 55,905.19 : x
  2. Step 2: Convert to fraction form
    39,123/55,905.19 = 55,905.19/x
  3. Step 3: Cross multiply
    39,123x = 55,905.19 × 55,905.19
  4. Step 4: Simplify right side
    39,123x = 3,125,389,989.41
  5. Step 5: Solve for x
    x = 3,125,389,989.41/39,123
  6. Step 6: Final answer
    x = 79,886.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.