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Finding the Third Proportional to 59,135 and 91,817

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Solution

The third proportional to 59,135 and 91,817 is: 142,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,135 : 91,817 = 91,817 : x
  2. Step 2: Convert to fraction form
    59,135/91,817 = 91,817/x
  3. Step 3: Cross multiply
    59,135x = 91,817 × 91,817
  4. Step 4: Simplify right side
    59,135x = 8,430,361,489
  5. Step 5: Solve for x
    x = 8,430,361,489/59,135
  6. Step 6: Final answer
    x = 142,561.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.