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Finding the Third Proportional to 42,441 and 88,368

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Solution

The third proportional to 42,441 and 88,368 is: 183,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,441 : 88,368 = 88,368 : x
  2. Step 2: Convert to fraction form
    42,441/88,368 = 88,368/x
  3. Step 3: Cross multiply
    42,441x = 88,368 × 88,368
  4. Step 4: Simplify right side
    42,441x = 7,808,903,424
  5. Step 5: Solve for x
    x = 7,808,903,424/42,441
  6. Step 6: Final answer
    x = 183,994.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.