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Finding the Third Proportional to 46,677 and 102,424

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Solution

The third proportional to 46,677 and 102,424 is: 224,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,677 : 102,424 = 102,424 : x
  2. Step 2: Convert to fraction form
    46,677/102,424 = 102,424/x
  3. Step 3: Cross multiply
    46,677x = 102,424 × 102,424
  4. Step 4: Simplify right side
    46,677x = 10,490,675,776
  5. Step 5: Solve for x
    x = 10,490,675,776/46,677
  6. Step 6: Final answer
    x = 224,750.43

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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.