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Finding the Third Proportional to 42,636 and 88,014

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Solution

The third proportional to 42,636 and 88,014 is: 181,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,636 : 88,014 = 88,014 : x
  2. Step 2: Convert to fraction form
    42,636/88,014 = 88,014/x
  3. Step 3: Cross multiply
    42,636x = 88,014 × 88,014
  4. Step 4: Simplify right side
    42,636x = 7,746,464,196
  5. Step 5: Solve for x
    x = 7,746,464,196/42,636
  6. Step 6: Final answer
    x = 181,688.34

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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.