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Finding the Third Proportional to 52,336 and 114,877

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Solution

The third proportional to 52,336 and 114,877 is: 252,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,336 : 114,877 = 114,877 : x
  2. Step 2: Convert to fraction form
    52,336/114,877 = 114,877/x
  3. Step 3: Cross multiply
    52,336x = 114,877 × 114,877
  4. Step 4: Simplify right side
    52,336x = 13,196,725,129
  5. Step 5: Solve for x
    x = 13,196,725,129/52,336
  6. Step 6: Final answer
    x = 252,153.87

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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.