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Finding the Third Proportional to 46,785 and 102,315

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Solution

The third proportional to 46,785 and 102,315 is: 223,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,785 : 102,315 = 102,315 : x
  2. Step 2: Convert to fraction form
    46,785/102,315 = 102,315/x
  3. Step 3: Cross multiply
    46,785x = 102,315 × 102,315
  4. Step 4: Simplify right side
    46,785x = 10,468,359,225
  5. Step 5: Solve for x
    x = 10,468,359,225/46,785
  6. Step 6: Final answer
    x = 223,754.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.