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Finding the Third Proportional to 75,225.75 and 163,942.88

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Solution

The third proportional to 75,225.75 and 163,942.88 is: 357,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,225.75 : 163,942.88 = 163,942.88 : x
  2. Step 2: Convert to fraction form
    75,225.75/163,942.88 = 163,942.88/x
  3. Step 3: Cross multiply
    75,225.75x = 163,942.88 × 163,942.88
  4. Step 4: Simplify right side
    75,225.75x = 26,877,266,263.27
  5. Step 5: Solve for x
    x = 26,877,266,263.27/75,225.75
  6. Step 6: Final answer
    x = 357,288.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.