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Finding the Third Proportional to 57,160.13 and 131,465.81

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Solution

The third proportional to 57,160.13 and 131,465.81 is: 302,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,160.13 : 131,465.81 = 131,465.81 : x
  2. Step 2: Convert to fraction form
    57,160.13/131,465.81 = 131,465.81/x
  3. Step 3: Cross multiply
    57,160.13x = 131,465.81 × 131,465.81
  4. Step 4: Simplify right side
    57,160.13x = 17,283,259,856.29
  5. Step 5: Solve for x
    x = 17,283,259,856.29/57,160.13
  6. Step 6: Final answer
    x = 302,365.68

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.