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Finding the Third Proportional to 85,476 and 132,694.50

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Solution

The third proportional to 85,476 and 132,694.50 is: 205,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,476 : 132,694.50 = 132,694.50 : x
  2. Step 2: Convert to fraction form
    85,476/132,694.50 = 132,694.50/x
  3. Step 3: Cross multiply
    85,476x = 132,694.50 × 132,694.50
  4. Step 4: Simplify right side
    85,476x = 17,607,830,330.25
  5. Step 5: Solve for x
    x = 17,607,830,330.25/85,476
  6. Step 6: Final answer
    x = 205,997.36

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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.