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Finding the Third Proportional to 58,903 and 122,773

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Solution

The third proportional to 58,903 and 122,773 is: 255,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,903 : 122,773 = 122,773 : x
  2. Step 2: Convert to fraction form
    58,903/122,773 = 122,773/x
  3. Step 3: Cross multiply
    58,903x = 122,773 × 122,773
  4. Step 4: Simplify right side
    58,903x = 15,073,209,529
  5. Step 5: Solve for x
    x = 15,073,209,529/58,903
  6. Step 6: Final answer
    x = 255,898.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.