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Finding the Third Proportional to 46,769 and 102,289

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Solution

The third proportional to 46,769 and 102,289 is: 223,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,769 : 102,289 = 102,289 : x
  2. Step 2: Convert to fraction form
    46,769/102,289 = 102,289/x
  3. Step 3: Cross multiply
    46,769x = 102,289 × 102,289
  4. Step 4: Simplify right side
    46,769x = 10,463,039,521
  5. Step 5: Solve for x
    x = 10,463,039,521/46,769
  6. Step 6: Final answer
    x = 223,717.41

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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.