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Finding the Third Proportional to 92,073.75 and 201,714

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Solution

The third proportional to 92,073.75 and 201,714 is: 441,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,073.75 : 201,714 = 201,714 : x
  2. Step 2: Convert to fraction form
    92,073.75/201,714 = 201,714/x
  3. Step 3: Cross multiply
    92,073.75x = 201,714 × 201,714
  4. Step 4: Simplify right side
    92,073.75x = 40,688,537,796
  5. Step 5: Solve for x
    x = 40,688,537,796/92,073.75
  6. Step 6: Final answer
    x = 441,912.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.