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Finding the Third Proportional to 40,123 and 56,090

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Solution

The third proportional to 40,123 and 56,090 is: 78,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,123 : 56,090 = 56,090 : x
  2. Step 2: Convert to fraction form
    40,123/56,090 = 56,090/x
  3. Step 3: Cross multiply
    40,123x = 56,090 × 56,090
  4. Step 4: Simplify right side
    40,123x = 3,146,088,100
  5. Step 5: Solve for x
    x = 3,146,088,100/40,123
  6. Step 6: Final answer
    x = 78,411.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.