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Finding the Third Proportional to 99,698 and 153,242

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Solution

The third proportional to 99,698 and 153,242 is: 235,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,698 : 153,242 = 153,242 : x
  2. Step 2: Convert to fraction form
    99,698/153,242 = 153,242/x
  3. Step 3: Cross multiply
    99,698x = 153,242 × 153,242
  4. Step 4: Simplify right side
    99,698x = 23,483,110,564
  5. Step 5: Solve for x
    x = 23,483,110,564/99,698
  6. Step 6: Final answer
    x = 235,542.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.