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Finding the Third Proportional to 105,225.75 and 163,009.13

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Solution

The third proportional to 105,225.75 and 163,009.13 is: 252,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,225.75 : 163,009.13 = 163,009.13 : x
  2. Step 2: Convert to fraction form
    105,225.75/163,009.13 = 163,009.13/x
  3. Step 3: Cross multiply
    105,225.75x = 163,009.13 × 163,009.13
  4. Step 4: Simplify right side
    105,225.75x = 26,571,974,833.27
  5. Step 5: Solve for x
    x = 26,571,974,833.27/105,225.75
  6. Step 6: Final answer
    x = 252,523.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.