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Finding the Third Proportional to 104,977.69 and 157,466.53

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Solution

The third proportional to 104,977.69 and 157,466.53 is: 236,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,977.69 : 157,466.53 = 157,466.53 : x
  2. Step 2: Convert to fraction form
    104,977.69/157,466.53 = 157,466.53/x
  3. Step 3: Cross multiply
    104,977.69x = 157,466.53 × 157,466.53
  4. Step 4: Simplify right side
    104,977.69x = 24,795,708,463.91
  5. Step 5: Solve for x
    x = 24,795,708,463.91/104,977.69
  6. Step 6: Final answer
    x = 236,199.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.