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Finding the Third Proportional to 105,693.61 and 163,586.46

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Solution

The third proportional to 105,693.61 and 163,586.46 is: 253,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,693.61 : 163,586.46 = 163,586.46 : x
  2. Step 2: Convert to fraction form
    105,693.61/163,586.46 = 163,586.46/x
  3. Step 3: Cross multiply
    105,693.61x = 163,586.46 × 163,586.46
  4. Step 4: Simplify right side
    105,693.61x = 26,760,530,202.06
  5. Step 5: Solve for x
    x = 26,760,530,202.06/105,693.61
  6. Step 6: Final answer
    x = 253,189.67

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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.