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Finding the Third Proportional to 58,737 and 114,519

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Solution

The third proportional to 58,737 and 114,519 is: 223,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,737 : 114,519 = 114,519 : x
  2. Step 2: Convert to fraction form
    58,737/114,519 = 114,519/x
  3. Step 3: Cross multiply
    58,737x = 114,519 × 114,519
  4. Step 4: Simplify right side
    58,737x = 13,114,601,361
  5. Step 5: Solve for x
    x = 13,114,601,361/58,737
  6. Step 6: Final answer
    x = 223,276.66

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.