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Finding the Third Proportional to 53,038 and 114,644

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Solution

The third proportional to 53,038 and 114,644 is: 247,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,038 : 114,644 = 114,644 : x
  2. Step 2: Convert to fraction form
    53,038/114,644 = 114,644/x
  3. Step 3: Cross multiply
    53,038x = 114,644 × 114,644
  4. Step 4: Simplify right side
    53,038x = 13,143,246,736
  5. Step 5: Solve for x
    x = 13,143,246,736/53,038
  6. Step 6: Final answer
    x = 247,808.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.