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Finding the Third Proportional to 45,035 and 97,050

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Solution

The third proportional to 45,035 and 97,050 is: 209,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,035 : 97,050 = 97,050 : x
  2. Step 2: Convert to fraction form
    45,035/97,050 = 97,050/x
  3. Step 3: Cross multiply
    45,035x = 97,050 × 97,050
  4. Step 4: Simplify right side
    45,035x = 9,418,702,500
  5. Step 5: Solve for x
    x = 9,418,702,500/45,035
  6. Step 6: Final answer
    x = 209,141.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.