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Finding the Third Proportional to 42,232 and 89,842

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Solution

The third proportional to 42,232 and 89,842 is: 191,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,232 : 89,842 = 89,842 : x
  2. Step 2: Convert to fraction form
    42,232/89,842 = 89,842/x
  3. Step 3: Cross multiply
    42,232x = 89,842 × 89,842
  4. Step 4: Simplify right side
    42,232x = 8,071,584,964
  5. Step 5: Solve for x
    x = 8,071,584,964/42,232
  6. Step 6: Final answer
    x = 191,124.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.