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Finding the Third Proportional to 59,339 and 90,773

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Solution

The third proportional to 59,339 and 90,773 is: 138,858.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,339 : 90,773 = 90,773 : x
  2. Step 2: Convert to fraction form
    59,339/90,773 = 90,773/x
  3. Step 3: Cross multiply
    59,339x = 90,773 × 90,773
  4. Step 4: Simplify right side
    59,339x = 8,239,737,529
  5. Step 5: Solve for x
    x = 8,239,737,529/59,339
  6. Step 6: Final answer
    x = 138,858.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.