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Finding the Third Proportional to 53,283 and 116,718

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Solution

The third proportional to 53,283 and 116,718 is: 255,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,283 : 116,718 = 116,718 : x
  2. Step 2: Convert to fraction form
    53,283/116,718 = 116,718/x
  3. Step 3: Cross multiply
    53,283x = 116,718 × 116,718
  4. Step 4: Simplify right side
    53,283x = 13,623,091,524
  5. Step 5: Solve for x
    x = 13,623,091,524/53,283
  6. Step 6: Final answer
    x = 255,674.26

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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.