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Finding the Third Proportional to 73,068.19 and 157,014.49

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Solution

The third proportional to 73,068.19 and 157,014.49 is: 337,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,068.19 : 157,014.49 = 157,014.49 : x
  2. Step 2: Convert to fraction form
    73,068.19/157,014.49 = 157,014.49/x
  3. Step 3: Cross multiply
    73,068.19x = 157,014.49 × 157,014.49
  4. Step 4: Simplify right side
    73,068.19x = 24,653,550,756.90
  5. Step 5: Solve for x
    x = 24,653,550,756.90/73,068.19
  6. Step 6: Final answer
    x = 337,404.71

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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.