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Finding the Third Proportional to 59,211 and 91,737

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Solution

The third proportional to 59,211 and 91,737 is: 142,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,211 : 91,737 = 91,737 : x
  2. Step 2: Convert to fraction form
    59,211/91,737 = 91,737/x
  3. Step 3: Cross multiply
    59,211x = 91,737 × 91,737
  4. Step 4: Simplify right side
    59,211x = 8,415,677,169
  5. Step 5: Solve for x
    x = 8,415,677,169/59,211
  6. Step 6: Final answer
    x = 142,130.30

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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.