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Finding the Third Proportional to 92,074 and 135,090

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Solution

The third proportional to 92,074 and 135,090 is: 198,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,074 : 135,090 = 135,090 : x
  2. Step 2: Convert to fraction form
    92,074/135,090 = 135,090/x
  3. Step 3: Cross multiply
    92,074x = 135,090 × 135,090
  4. Step 4: Simplify right side
    92,074x = 18,249,308,100
  5. Step 5: Solve for x
    x = 18,249,308,100/92,074
  6. Step 6: Final answer
    x = 198,202.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.