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Finding the Third Proportional to 42,765 and 99,106

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Solution

The third proportional to 42,765 and 99,106 is: 229,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,765 : 99,106 = 99,106 : x
  2. Step 2: Convert to fraction form
    42,765/99,106 = 99,106/x
  3. Step 3: Cross multiply
    42,765x = 99,106 × 99,106
  4. Step 4: Simplify right side
    42,765x = 9,821,999,236
  5. Step 5: Solve for x
    x = 9,821,999,236/42,765
  6. Step 6: Final answer
    x = 229,673.78

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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.