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Finding the Third Proportional to 109,074 and 157,097

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Solution

The third proportional to 109,074 and 157,097 is: 226,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,074 : 157,097 = 157,097 : x
  2. Step 2: Convert to fraction form
    109,074/157,097 = 157,097/x
  3. Step 3: Cross multiply
    109,074x = 157,097 × 157,097
  4. Step 4: Simplify right side
    109,074x = 24,679,467,409
  5. Step 5: Solve for x
    x = 24,679,467,409/109,074
  6. Step 6: Final answer
    x = 226,263.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.