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Finding the Third Proportional to 74,483.63 and 159,624.38

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Solution

The third proportional to 74,483.63 and 159,624.38 is: 342,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,483.63 : 159,624.38 = 159,624.38 : x
  2. Step 2: Convert to fraction form
    74,483.63/159,624.38 = 159,624.38/x
  3. Step 3: Cross multiply
    74,483.63x = 159,624.38 × 159,624.38
  4. Step 4: Simplify right side
    74,483.63x = 25,479,941,094.14
  5. Step 5: Solve for x
    x = 25,479,941,094.14/74,483.63
  6. Step 6: Final answer
    x = 342,087.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.