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Finding the Third Proportional to 85,510.69 and 119,652.19

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Solution

The third proportional to 85,510.69 and 119,652.19 is: 167,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,510.69 : 119,652.19 = 119,652.19 : x
  2. Step 2: Convert to fraction form
    85,510.69/119,652.19 = 119,652.19/x
  3. Step 3: Cross multiply
    85,510.69x = 119,652.19 × 119,652.19
  4. Step 4: Simplify right side
    85,510.69x = 14,316,645,973.54
  5. Step 5: Solve for x
    x = 14,316,645,973.54/85,510.69
  6. Step 6: Final answer
    x = 167,425.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.