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Finding the Third Proportional to 53,662 and 85,097

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Solution

The third proportional to 53,662 and 85,097 is: 134,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,662 : 85,097 = 85,097 : x
  2. Step 2: Convert to fraction form
    53,662/85,097 = 85,097/x
  3. Step 3: Cross multiply
    53,662x = 85,097 × 85,097
  4. Step 4: Simplify right side
    53,662x = 7,241,499,409
  5. Step 5: Solve for x
    x = 7,241,499,409/53,662
  6. Step 6: Final answer
    x = 134,946.51

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