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Finding the Third Proportional to 45,570 and 95,748

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Solution

The third proportional to 45,570 and 95,748 is: 201,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,570 : 95,748 = 95,748 : x
  2. Step 2: Convert to fraction form
    45,570/95,748 = 95,748/x
  3. Step 3: Cross multiply
    45,570x = 95,748 × 95,748
  4. Step 4: Simplify right side
    45,570x = 9,167,679,504
  5. Step 5: Solve for x
    x = 9,167,679,504/45,570
  6. Step 6: Final answer
    x = 201,177.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.