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Finding the Third Proportional to 60,505 and 131,507

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Solution

The third proportional to 60,505 and 131,507 is: 285,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,505 : 131,507 = 131,507 : x
  2. Step 2: Convert to fraction form
    60,505/131,507 = 131,507/x
  3. Step 3: Cross multiply
    60,505x = 131,507 × 131,507
  4. Step 4: Simplify right side
    60,505x = 17,294,091,049
  5. Step 5: Solve for x
    x = 17,294,091,049/60,505
  6. Step 6: Final answer
    x = 285,829.12

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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.