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Finding the Third Proportional to 42,154 and 90,840

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Solution

The third proportional to 42,154 and 90,840 is: 195,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,154 : 90,840 = 90,840 : x
  2. Step 2: Convert to fraction form
    42,154/90,840 = 90,840/x
  3. Step 3: Cross multiply
    42,154x = 90,840 × 90,840
  4. Step 4: Simplify right side
    42,154x = 8,251,905,600
  5. Step 5: Solve for x
    x = 8,251,905,600/42,154
  6. Step 6: Final answer
    x = 195,756.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.