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Finding the Third Proportional to 34,185 and 74,499.75

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Solution

The third proportional to 34,185 and 74,499.75 is: 162,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,185 : 74,499.75 = 74,499.75 : x
  2. Step 2: Convert to fraction form
    34,185/74,499.75 = 74,499.75/x
  3. Step 3: Cross multiply
    34,185x = 74,499.75 × 74,499.75
  4. Step 4: Simplify right side
    34,185x = 5,550,212,750.06
  5. Step 5: Solve for x
    x = 5,550,212,750.06/34,185
  6. Step 6: Final answer
    x = 162,358.13

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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.