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Finding the Third Proportional to 52,364 and 114,501

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Solution

The third proportional to 52,364 and 114,501 is: 250,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,364 : 114,501 = 114,501 : x
  2. Step 2: Convert to fraction form
    52,364/114,501 = 114,501/x
  3. Step 3: Cross multiply
    52,364x = 114,501 × 114,501
  4. Step 4: Simplify right side
    52,364x = 13,110,479,001
  5. Step 5: Solve for x
    x = 13,110,479,001/52,364
  6. Step 6: Final answer
    x = 250,371.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.