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Finding the Third Proportional to 104,520 and 157,018

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Solution

The third proportional to 104,520 and 157,018 is: 235,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,520 : 157,018 = 157,018 : x
  2. Step 2: Convert to fraction form
    104,520/157,018 = 157,018/x
  3. Step 3: Cross multiply
    104,520x = 157,018 × 157,018
  4. Step 4: Simplify right side
    104,520x = 24,654,652,324
  5. Step 5: Solve for x
    x = 24,654,652,324/104,520
  6. Step 6: Final answer
    x = 235,884.54

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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.