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Finding the Third Proportional to 73,437 and 158,535

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Solution

The third proportional to 73,437 and 158,535 is: 342,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,437 : 158,535 = 158,535 : x
  2. Step 2: Convert to fraction form
    73,437/158,535 = 158,535/x
  3. Step 3: Cross multiply
    73,437x = 158,535 × 158,535
  4. Step 4: Simplify right side
    73,437x = 25,133,346,225
  5. Step 5: Solve for x
    x = 25,133,346,225/73,437
  6. Step 6: Final answer
    x = 342,243.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.