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Finding the Third Proportional to 60,174 and 90,045

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Solution

The third proportional to 60,174 and 90,045 is: 134,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,174 : 90,045 = 90,045 : x
  2. Step 2: Convert to fraction form
    60,174/90,045 = 90,045/x
  3. Step 3: Cross multiply
    60,174x = 90,045 × 90,045
  4. Step 4: Simplify right side
    60,174x = 8,108,102,025
  5. Step 5: Solve for x
    x = 8,108,102,025/60,174
  6. Step 6: Final answer
    x = 134,744.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.