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Finding the Third Proportional to 63,090 and 92,427

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Solution

The third proportional to 63,090 and 92,427 is: 135,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,090 : 92,427 = 92,427 : x
  2. Step 2: Convert to fraction form
    63,090/92,427 = 92,427/x
  3. Step 3: Cross multiply
    63,090x = 92,427 × 92,427
  4. Step 4: Simplify right side
    63,090x = 8,542,750,329
  5. Step 5: Solve for x
    x = 8,542,750,329/63,090
  6. Step 6: Final answer
    x = 135,405.77

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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.