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Finding the Third Proportional to 59,583 and 92,892

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Solution

The third proportional to 59,583 and 92,892 is: 144,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,583 : 92,892 = 92,892 : x
  2. Step 2: Convert to fraction form
    59,583/92,892 = 92,892/x
  3. Step 3: Cross multiply
    59,583x = 92,892 × 92,892
  4. Step 4: Simplify right side
    59,583x = 8,628,923,664
  5. Step 5: Solve for x
    x = 8,628,923,664/59,583
  6. Step 6: Final answer
    x = 144,821.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.