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Finding the Third Proportional to 71,004.38 and 153,080.44

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Solution

The third proportional to 71,004.38 and 153,080.44 is: 330,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,004.38 : 153,080.44 = 153,080.44 : x
  2. Step 2: Convert to fraction form
    71,004.38/153,080.44 = 153,080.44/x
  3. Step 3: Cross multiply
    71,004.38x = 153,080.44 × 153,080.44
  4. Step 4: Simplify right side
    71,004.38x = 23,433,620,345.19
  5. Step 5: Solve for x
    x = 23,433,620,345.19/71,004.38
  6. Step 6: Final answer
    x = 330,030.65

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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.