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Finding the Third Proportional to 109,476 and 160,314

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Solution

The third proportional to 109,476 and 160,314 is: 234,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,476 : 160,314 = 160,314 : x
  2. Step 2: Convert to fraction form
    109,476/160,314 = 160,314/x
  3. Step 3: Cross multiply
    109,476x = 160,314 × 160,314
  4. Step 4: Simplify right side
    109,476x = 25,700,578,596
  5. Step 5: Solve for x
    x = 25,700,578,596/109,476
  6. Step 6: Final answer
    x = 234,759.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.