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Finding the Third Proportional to 99,362 and 145,875

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Solution

The third proportional to 99,362 and 145,875 is: 214,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,362 : 145,875 = 145,875 : x
  2. Step 2: Convert to fraction form
    99,362/145,875 = 145,875/x
  3. Step 3: Cross multiply
    99,362x = 145,875 × 145,875
  4. Step 4: Simplify right side
    99,362x = 21,279,515,625
  5. Step 5: Solve for x
    x = 21,279,515,625/99,362
  6. Step 6: Final answer
    x = 214,161.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.