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Finding the Third Proportional to 42,516 and 87,786

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Solution

The third proportional to 42,516 and 87,786 is: 181,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,516 : 87,786 = 87,786 : x
  2. Step 2: Convert to fraction form
    42,516/87,786 = 87,786/x
  3. Step 3: Cross multiply
    42,516x = 87,786 × 87,786
  4. Step 4: Simplify right side
    42,516x = 7,706,381,796
  5. Step 5: Solve for x
    x = 7,706,381,796/42,516
  6. Step 6: Final answer
    x = 181,258.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.