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Finding the Third Proportional to 99,656 and 145,647

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Solution

The third proportional to 99,656 and 145,647 is: 212,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,656 : 145,647 = 145,647 : x
  2. Step 2: Convert to fraction form
    99,656/145,647 = 145,647/x
  3. Step 3: Cross multiply
    99,656x = 145,647 × 145,647
  4. Step 4: Simplify right side
    99,656x = 21,213,048,609
  5. Step 5: Solve for x
    x = 21,213,048,609/99,656
  6. Step 6: Final answer
    x = 212,862.73

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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.