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Finding the Third Proportional to 85,173 and 132,253.50

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Solution

The third proportional to 85,173 and 132,253.50 is: 205,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,173 : 132,253.50 = 132,253.50 : x
  2. Step 2: Convert to fraction form
    85,173/132,253.50 = 132,253.50/x
  3. Step 3: Cross multiply
    85,173x = 132,253.50 × 132,253.50
  4. Step 4: Simplify right side
    85,173x = 17,490,988,262.25
  5. Step 5: Solve for x
    x = 17,490,988,262.25/85,173
  6. Step 6: Final answer
    x = 205,358.37

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