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Finding the Third Proportional to 48,624 and 114,480

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Solution

The third proportional to 48,624 and 114,480 is: 269,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,624 : 114,480 = 114,480 : x
  2. Step 2: Convert to fraction form
    48,624/114,480 = 114,480/x
  3. Step 3: Cross multiply
    48,624x = 114,480 × 114,480
  4. Step 4: Simplify right side
    48,624x = 13,105,670,400
  5. Step 5: Solve for x
    x = 13,105,670,400/48,624
  6. Step 6: Final answer
    x = 269,530.90

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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.