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Finding the Third Proportional to 73,053.75 and 157,392

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Solution

The third proportional to 73,053.75 and 157,392 is: 339,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,053.75 : 157,392 = 157,392 : x
  2. Step 2: Convert to fraction form
    73,053.75/157,392 = 157,392/x
  3. Step 3: Cross multiply
    73,053.75x = 157,392 × 157,392
  4. Step 4: Simplify right side
    73,053.75x = 24,772,241,664
  5. Step 5: Solve for x
    x = 24,772,241,664/73,053.75
  6. Step 6: Final answer
    x = 339,096.10

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Why These Related Problems?

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