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Finding the Third Proportional to 124,534.50 and 194,578.50

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Solution

The third proportional to 124,534.50 and 194,578.50 is: 304,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,534.50 : 194,578.50 = 194,578.50 : x
  2. Step 2: Convert to fraction form
    124,534.50/194,578.50 = 194,578.50/x
  3. Step 3: Cross multiply
    124,534.50x = 194,578.50 × 194,578.50
  4. Step 4: Simplify right side
    124,534.50x = 37,860,792,662.25
  5. Step 5: Solve for x
    x = 37,860,792,662.25/124,534.50
  6. Step 6: Final answer
    x = 304,018.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.