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Finding the Third Proportional to 46,767 and 102,283

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Solution

The third proportional to 46,767 and 102,283 is: 223,700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,767 : 102,283 = 102,283 : x
  2. Step 2: Convert to fraction form
    46,767/102,283 = 102,283/x
  3. Step 3: Cross multiply
    46,767x = 102,283 × 102,283
  4. Step 4: Simplify right side
    46,767x = 10,461,812,089
  5. Step 5: Solve for x
    x = 10,461,812,089/46,767
  6. Step 6: Final answer
    x = 223,700.73

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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.