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Finding the Third Proportional to 72,344.25 and 158,693.63

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Solution

The third proportional to 72,344.25 and 158,693.63 is: 348,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,344.25 : 158,693.63 = 158,693.63 : x
  2. Step 2: Convert to fraction form
    72,344.25/158,693.63 = 158,693.63/x
  3. Step 3: Cross multiply
    72,344.25x = 158,693.63 × 158,693.63
  4. Step 4: Simplify right side
    72,344.25x = 25,183,666,615.64
  5. Step 5: Solve for x
    x = 25,183,666,615.64/72,344.25
  6. Step 6: Final answer
    x = 348,108.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.