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Finding the Third Proportional to 73,090 and 109,340

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Solution

The third proportional to 73,090 and 109,340 is: 163,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,090 : 109,340 = 109,340 : x
  2. Step 2: Convert to fraction form
    73,090/109,340 = 109,340/x
  3. Step 3: Cross multiply
    73,090x = 109,340 × 109,340
  4. Step 4: Simplify right side
    73,090x = 11,955,235,600
  5. Step 5: Solve for x
    x = 11,955,235,600/73,090
  6. Step 6: Final answer
    x = 163,568.69

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