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Finding the Third Proportional to 34,237.13 and 73,567.13

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Solution

The third proportional to 34,237.13 and 73,567.13 is: 158,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,237.13 : 73,567.13 = 73,567.13 : x
  2. Step 2: Convert to fraction form
    34,237.13/73,567.13 = 73,567.13/x
  3. Step 3: Cross multiply
    34,237.13x = 73,567.13 × 73,567.13
  4. Step 4: Simplify right side
    34,237.13x = 5,412,121,880.77
  5. Step 5: Solve for x
    x = 5,412,121,880.77/34,237.13
  6. Step 6: Final answer
    x = 158,077.58

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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.