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Finding the Third Proportional to 73,698.50 and 157,048.50

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Solution

The third proportional to 73,698.50 and 157,048.50 is: 334,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,698.50 : 157,048.50 = 157,048.50 : x
  2. Step 2: Convert to fraction form
    73,698.50/157,048.50 = 157,048.50/x
  3. Step 3: Cross multiply
    73,698.50x = 157,048.50 × 157,048.50
  4. Step 4: Simplify right side
    73,698.50x = 24,664,231,352.25
  5. Step 5: Solve for x
    x = 24,664,231,352.25/73,698.50
  6. Step 6: Final answer
    x = 334,663.95

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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.