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Finding the Third Proportional to 93,531 and 140,404.50

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Solution

The third proportional to 93,531 and 140,404.50 is: 210,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,531 : 140,404.50 = 140,404.50 : x
  2. Step 2: Convert to fraction form
    93,531/140,404.50 = 140,404.50/x
  3. Step 3: Cross multiply
    93,531x = 140,404.50 × 140,404.50
  4. Step 4: Simplify right side
    93,531x = 19,713,423,620.25
  5. Step 5: Solve for x
    x = 19,713,423,620.25/93,531
  6. Step 6: Final answer
    x = 210,768.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.