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Finding the Third Proportional to 75,428.72 and 157,053.94

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Solution

The third proportional to 75,428.72 and 157,053.94 is: 327,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,428.72 : 157,053.94 = 157,053.94 : x
  2. Step 2: Convert to fraction form
    75,428.72/157,053.94 = 157,053.94/x
  3. Step 3: Cross multiply
    75,428.72x = 157,053.94 × 157,053.94
  4. Step 4: Simplify right side
    75,428.72x = 24,665,939,284.25
  5. Step 5: Solve for x
    x = 24,665,939,284.25/75,428.72
  6. Step 6: Final answer
    x = 327,009.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.