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Finding the Third Proportional to 93,367 and 140,117

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Solution

The third proportional to 93,367 and 140,117 is: 210,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,367 : 140,117 = 140,117 : x
  2. Step 2: Convert to fraction form
    93,367/140,117 = 140,117/x
  3. Step 3: Cross multiply
    93,367x = 140,117 × 140,117
  4. Step 4: Simplify right side
    93,367x = 19,632,773,689
  5. Step 5: Solve for x
    x = 19,632,773,689/93,367
  6. Step 6: Final answer
    x = 210,275.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.