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Finding the Third Proportional to 53,420 and 116,763

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Solution

The third proportional to 53,420 and 116,763 is: 255,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,420 : 116,763 = 116,763 : x
  2. Step 2: Convert to fraction form
    53,420/116,763 = 116,763/x
  3. Step 3: Cross multiply
    53,420x = 116,763 × 116,763
  4. Step 4: Simplify right side
    53,420x = 13,633,598,169
  5. Step 5: Solve for x
    x = 13,633,598,169/53,420
  6. Step 6: Final answer
    x = 255,215.24

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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.