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Finding the Third Proportional to 48,614 and 114,462

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Solution

The third proportional to 48,614 and 114,462 is: 269,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,614 : 114,462 = 114,462 : x
  2. Step 2: Convert to fraction form
    48,614/114,462 = 114,462/x
  3. Step 3: Cross multiply
    48,614x = 114,462 × 114,462
  4. Step 4: Simplify right side
    48,614x = 13,101,549,444
  5. Step 5: Solve for x
    x = 13,101,549,444/48,614
  6. Step 6: Final answer
    x = 269,501.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.