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Finding the Third Proportional to 58,689 and 120,108

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Solution

The third proportional to 58,689 and 120,108 is: 245,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,689 : 120,108 = 120,108 : x
  2. Step 2: Convert to fraction form
    58,689/120,108 = 120,108/x
  3. Step 3: Cross multiply
    58,689x = 120,108 × 120,108
  4. Step 4: Simplify right side
    58,689x = 14,425,931,664
  5. Step 5: Solve for x
    x = 14,425,931,664/58,689
  6. Step 6: Final answer
    x = 245,802.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.