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Finding the Third Proportional to 60,465 and 131,313

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Solution

The third proportional to 60,465 and 131,313 is: 285,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,465 : 131,313 = 131,313 : x
  2. Step 2: Convert to fraction form
    60,465/131,313 = 131,313/x
  3. Step 3: Cross multiply
    60,465x = 131,313 × 131,313
  4. Step 4: Simplify right side
    60,465x = 17,243,103,969
  5. Step 5: Solve for x
    x = 17,243,103,969/60,465
  6. Step 6: Final answer
    x = 285,174.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.