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Finding the Third Proportional to 104,454 and 152,307

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Solution

The third proportional to 104,454 and 152,307 is: 222,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,454 : 152,307 = 152,307 : x
  2. Step 2: Convert to fraction form
    104,454/152,307 = 152,307/x
  3. Step 3: Cross multiply
    104,454x = 152,307 × 152,307
  4. Step 4: Simplify right side
    104,454x = 23,197,422,249
  5. Step 5: Solve for x
    x = 23,197,422,249/104,454
  6. Step 6: Final answer
    x = 222,082.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.