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Finding the Third Proportional to 104,550 and 157,060

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Solution

The third proportional to 104,550 and 157,060 is: 235,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,550 : 157,060 = 157,060 : x
  2. Step 2: Convert to fraction form
    104,550/157,060 = 157,060/x
  3. Step 3: Cross multiply
    104,550x = 157,060 × 157,060
  4. Step 4: Simplify right side
    104,550x = 24,667,843,600
  5. Step 5: Solve for x
    x = 24,667,843,600/104,550
  6. Step 6: Final answer
    x = 235,943.03

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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.