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Finding the Third Proportional to 114,720 and 247,014

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Solution

The third proportional to 114,720 and 247,014 is: 531,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,720 : 247,014 = 247,014 : x
  2. Step 2: Convert to fraction form
    114,720/247,014 = 247,014/x
  3. Step 3: Cross multiply
    114,720x = 247,014 × 247,014
  4. Step 4: Simplify right side
    114,720x = 61,015,916,196
  5. Step 5: Solve for x
    x = 61,015,916,196/114,720
  6. Step 6: Final answer
    x = 531,868.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.