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Finding the Third Proportional to 58,160.53 and 119,958.47

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Solution

The third proportional to 58,160.53 and 119,958.47 is: 247,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,160.53 : 119,958.47 = 119,958.47 : x
  2. Step 2: Convert to fraction form
    58,160.53/119,958.47 = 119,958.47/x
  3. Step 3: Cross multiply
    58,160.53x = 119,958.47 × 119,958.47
  4. Step 4: Simplify right side
    58,160.53x = 14,390,034,224.84
  5. Step 5: Solve for x
    x = 14,390,034,224.84/58,160.53
  6. Step 6: Final answer
    x = 247,419.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.