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Finding the Third Proportional to 35,162.86 and 74,938.92

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Solution

The third proportional to 35,162.86 and 74,938.92 is: 159,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,162.86 : 74,938.92 = 74,938.92 : x
  2. Step 2: Convert to fraction form
    35,162.86/74,938.92 = 74,938.92/x
  3. Step 3: Cross multiply
    35,162.86x = 74,938.92 × 74,938.92
  4. Step 4: Simplify right side
    35,162.86x = 5,615,842,011.79
  5. Step 5: Solve for x
    x = 5,615,842,011.79/35,162.86
  6. Step 6: Final answer
    x = 159,709.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.