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Finding the Third Proportional to 76,347.56 and 159,666.19

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Solution

The third proportional to 76,347.56 and 159,666.19 is: 333,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,347.56 : 159,666.19 = 159,666.19 : x
  2. Step 2: Convert to fraction form
    76,347.56/159,666.19 = 159,666.19/x
  3. Step 3: Cross multiply
    76,347.56x = 159,666.19 × 159,666.19
  4. Step 4: Simplify right side
    76,347.56x = 25,493,291,430.79
  5. Step 5: Solve for x
    x = 25,493,291,430.79/76,347.56
  6. Step 6: Final answer
    x = 333,911.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.