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Finding the Third Proportional to 46,815 and 102,654

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Solution

The third proportional to 46,815 and 102,654 is: 225,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,815 : 102,654 = 102,654 : x
  2. Step 2: Convert to fraction form
    46,815/102,654 = 102,654/x
  3. Step 3: Cross multiply
    46,815x = 102,654 × 102,654
  4. Step 4: Simplify right side
    46,815x = 10,537,843,716
  5. Step 5: Solve for x
    x = 10,537,843,716/46,815
  6. Step 6: Final answer
    x = 225,095.45

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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.