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Finding the Third Proportional to 84,172.92 and 187,030.27

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Solution

The third proportional to 84,172.92 and 187,030.27 is: 415,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,172.92 : 187,030.27 = 187,030.27 : x
  2. Step 2: Convert to fraction form
    84,172.92/187,030.27 = 187,030.27/x
  3. Step 3: Cross multiply
    84,172.92x = 187,030.27 × 187,030.27
  4. Step 4: Simplify right side
    84,172.92x = 34,980,320,259.76
  5. Step 5: Solve for x
    x = 34,980,320,259.76/84,172.92
  6. Step 6: Final answer
    x = 415,576.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.