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Finding the Third Proportional to 53,666 and 85,102

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Solution

The third proportional to 53,666 and 85,102 is: 134,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,666 : 85,102 = 85,102 : x
  2. Step 2: Convert to fraction form
    53,666/85,102 = 85,102/x
  3. Step 3: Cross multiply
    53,666x = 85,102 × 85,102
  4. Step 4: Simplify right side
    53,666x = 7,242,350,404
  5. Step 5: Solve for x
    x = 7,242,350,404/53,666
  6. Step 6: Final answer
    x = 134,952.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.