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Finding the Third Proportional to 104,523.50 and 157,764.50

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Solution

The third proportional to 104,523.50 and 157,764.50 is: 238,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,523.50 : 157,764.50 = 157,764.50 : x
  2. Step 2: Convert to fraction form
    104,523.50/157,764.50 = 157,764.50/x
  3. Step 3: Cross multiply
    104,523.50x = 157,764.50 × 157,764.50
  4. Step 4: Simplify right side
    104,523.50x = 24,889,637,460.25
  5. Step 5: Solve for x
    x = 24,889,637,460.25/104,523.50
  6. Step 6: Final answer
    x = 238,124.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.