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Finding the Third Proportional to 42,767 and 99,111

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Solution

The third proportional to 42,767 and 99,111 is: 229,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,767 : 99,111 = 99,111 : x
  2. Step 2: Convert to fraction form
    42,767/99,111 = 99,111/x
  3. Step 3: Cross multiply
    42,767x = 99,111 × 99,111
  4. Step 4: Simplify right side
    42,767x = 9,822,990,321
  5. Step 5: Solve for x
    x = 9,822,990,321/42,767
  6. Step 6: Final answer
    x = 229,686.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.