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Finding the Third Proportional to 40,120 and 62,090

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Solution

The third proportional to 40,120 and 62,090 is: 96,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,120 : 62,090 = 62,090 : x
  2. Step 2: Convert to fraction form
    40,120/62,090 = 62,090/x
  3. Step 3: Cross multiply
    40,120x = 62,090 × 62,090
  4. Step 4: Simplify right side
    40,120x = 3,855,168,100
  5. Step 5: Solve for x
    x = 3,855,168,100/40,120
  6. Step 6: Final answer
    x = 96,090.93

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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.