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Finding the Third Proportional to 60,369 and 90,717

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Solution

The third proportional to 60,369 and 90,717 is: 136,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,369 : 90,717 = 90,717 : x
  2. Step 2: Convert to fraction form
    60,369/90,717 = 90,717/x
  3. Step 3: Cross multiply
    60,369x = 90,717 × 90,717
  4. Step 4: Simplify right side
    60,369x = 8,229,574,089
  5. Step 5: Solve for x
    x = 8,229,574,089/60,369
  6. Step 6: Final answer
    x = 136,321.19

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Why These Related Problems?

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