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Finding the Third Proportional to 104,534 and 157,774

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Solution

The third proportional to 104,534 and 157,774 is: 238,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,534 : 157,774 = 157,774 : x
  2. Step 2: Convert to fraction form
    104,534/157,774 = 157,774/x
  3. Step 3: Cross multiply
    104,534x = 157,774 × 157,774
  4. Step 4: Simplify right side
    104,534x = 24,892,635,076
  5. Step 5: Solve for x
    x = 24,892,635,076/104,534
  6. Step 6: Final answer
    x = 238,129.56

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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.