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Finding the Third Proportional to 53,270 and 116,560

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Solution

The third proportional to 53,270 and 116,560 is: 255,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,270 : 116,560 = 116,560 : x
  2. Step 2: Convert to fraction form
    53,270/116,560 = 116,560/x
  3. Step 3: Cross multiply
    53,270x = 116,560 × 116,560
  4. Step 4: Simplify right side
    53,270x = 13,586,233,600
  5. Step 5: Solve for x
    x = 13,586,233,600/53,270
  6. Step 6: Final answer
    x = 255,044.75

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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.