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Finding the Third Proportional to 105,902 and 148,125

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Solution

The third proportional to 105,902 and 148,125 is: 207,182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,902 : 148,125 = 148,125 : x
  2. Step 2: Convert to fraction form
    105,902/148,125 = 148,125/x
  3. Step 3: Cross multiply
    105,902x = 148,125 × 148,125
  4. Step 4: Simplify right side
    105,902x = 21,941,015,625
  5. Step 5: Solve for x
    x = 21,941,015,625/105,902
  6. Step 6: Final answer
    x = 207,182.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.