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Finding the Third Proportional to 46,902 and 102,699

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Solution

The third proportional to 46,902 and 102,699 is: 224,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,902 : 102,699 = 102,699 : x
  2. Step 2: Convert to fraction form
    46,902/102,699 = 102,699/x
  3. Step 3: Cross multiply
    46,902x = 102,699 × 102,699
  4. Step 4: Simplify right side
    46,902x = 10,547,084,601
  5. Step 5: Solve for x
    x = 10,547,084,601/46,902
  6. Step 6: Final answer
    x = 224,874.94

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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.