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Finding the Third Proportional to 104,874.50 and 157,323

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Solution

The third proportional to 104,874.50 and 157,323 is: 236,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,874.50 : 157,323 = 157,323 : x
  2. Step 2: Convert to fraction form
    104,874.50/157,323 = 157,323/x
  3. Step 3: Cross multiply
    104,874.50x = 157,323 × 157,323
  4. Step 4: Simplify right side
    104,874.50x = 24,750,526,329
  5. Step 5: Solve for x
    x = 24,750,526,329/104,874.50
  6. Step 6: Final answer
    x = 236,001.38

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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.