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Finding the Third Proportional to 73,993.50 and 157,838.63

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Solution

The third proportional to 73,993.50 and 157,838.63 is: 336,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,993.50 : 157,838.63 = 157,838.63 : x
  2. Step 2: Convert to fraction form
    73,993.50/157,838.63 = 157,838.63/x
  3. Step 3: Cross multiply
    73,993.50x = 157,838.63 × 157,838.63
  4. Step 4: Simplify right side
    73,993.50x = 24,913,031,541.89
  5. Step 5: Solve for x
    x = 24,913,031,541.89/73,993.50
  6. Step 6: Final answer
    x = 336,692.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.