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Finding the Third Proportional to 46,829 and 102,730

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Solution

The third proportional to 46,829 and 102,730 is: 225,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,829 : 102,730 = 102,730 : x
  2. Step 2: Convert to fraction form
    46,829/102,730 = 102,730/x
  3. Step 3: Cross multiply
    46,829x = 102,730 × 102,730
  4. Step 4: Simplify right side
    46,829x = 10,553,452,900
  5. Step 5: Solve for x
    x = 10,553,452,900/46,829
  6. Step 6: Final answer
    x = 225,361.48

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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.