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Finding the Third Proportional to 53,168 and 82,270

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Solution

The third proportional to 53,168 and 82,270 is: 127,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,168 : 82,270 = 82,270 : x
  2. Step 2: Convert to fraction form
    53,168/82,270 = 82,270/x
  3. Step 3: Cross multiply
    53,168x = 82,270 × 82,270
  4. Step 4: Simplify right side
    53,168x = 6,768,352,900
  5. Step 5: Solve for x
    x = 6,768,352,900/53,168
  6. Step 6: Final answer
    x = 127,301.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.