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Finding the Third Proportional to 46,769 and 102,287

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Solution

The third proportional to 46,769 and 102,287 is: 223,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,769 : 102,287 = 102,287 : x
  2. Step 2: Convert to fraction form
    46,769/102,287 = 102,287/x
  3. Step 3: Cross multiply
    46,769x = 102,287 × 102,287
  4. Step 4: Simplify right side
    46,769x = 10,462,630,369
  5. Step 5: Solve for x
    x = 10,462,630,369/46,769
  6. Step 6: Final answer
    x = 223,708.66

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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.