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Finding the Third Proportional to 46,870 and 103,135

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Solution

The third proportional to 46,870 and 103,135 is: 226,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,870 : 103,135 = 103,135 : x
  2. Step 2: Convert to fraction form
    46,870/103,135 = 103,135/x
  3. Step 3: Cross multiply
    46,870x = 103,135 × 103,135
  4. Step 4: Simplify right side
    46,870x = 10,636,828,225
  5. Step 5: Solve for x
    x = 10,636,828,225/46,870
  6. Step 6: Final answer
    x = 226,943.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.