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Finding the Third Proportional to 60,582 and 91,966

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Solution

The third proportional to 60,582 and 91,966 is: 139,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,582 : 91,966 = 91,966 : x
  2. Step 2: Convert to fraction form
    60,582/91,966 = 91,966/x
  3. Step 3: Cross multiply
    60,582x = 91,966 × 91,966
  4. Step 4: Simplify right side
    60,582x = 8,457,745,156
  5. Step 5: Solve for x
    x = 8,457,745,156/60,582
  6. Step 6: Final answer
    x = 139,608.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.