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Finding the Third Proportional to 53,288 and 116,944

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Solution

The third proportional to 53,288 and 116,944 is: 256,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,288 : 116,944 = 116,944 : x
  2. Step 2: Convert to fraction form
    53,288/116,944 = 116,944/x
  3. Step 3: Cross multiply
    53,288x = 116,944 × 116,944
  4. Step 4: Simplify right side
    53,288x = 13,675,899,136
  5. Step 5: Solve for x
    x = 13,675,899,136/53,288
  6. Step 6: Final answer
    x = 256,641.25

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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.