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Finding the Third Proportional to 52,864.31 and 119,036.25

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Solution

The third proportional to 52,864.31 and 119,036.25 is: 268,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,864.31 : 119,036.25 = 119,036.25 : x
  2. Step 2: Convert to fraction form
    52,864.31/119,036.25 = 119,036.25/x
  3. Step 3: Cross multiply
    52,864.31x = 119,036.25 × 119,036.25
  4. Step 4: Simplify right side
    52,864.31x = 14,169,628,814.06
  5. Step 5: Solve for x
    x = 14,169,628,814.06/52,864.31
  6. Step 6: Final answer
    x = 268,037.70

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.