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Finding the Third Proportional to 45,402.75 and 105,508.13

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Solution

The third proportional to 45,402.75 and 105,508.13 is: 245,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402.75 : 105,508.13 = 105,508.13 : x
  2. Step 2: Convert to fraction form
    45,402.75/105,508.13 = 105,508.13/x
  3. Step 3: Cross multiply
    45,402.75x = 105,508.13 × 105,508.13
  4. Step 4: Simplify right side
    45,402.75x = 11,131,964,441.02
  5. Step 5: Solve for x
    x = 11,131,964,441.02/45,402.75
  6. Step 6: Final answer
    x = 245,182.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.