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Finding the Third Proportional to 99,634 and 152,343

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Solution

The third proportional to 99,634 and 152,343 is: 232,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,634 : 152,343 = 152,343 : x
  2. Step 2: Convert to fraction form
    99,634/152,343 = 152,343/x
  3. Step 3: Cross multiply
    99,634x = 152,343 × 152,343
  4. Step 4: Simplify right side
    99,634x = 23,208,389,649
  5. Step 5: Solve for x
    x = 23,208,389,649/99,634
  6. Step 6: Final answer
    x = 232,936.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.