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Finding the Third Proportional to 74,455.50 and 159,300

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Solution

The third proportional to 74,455.50 and 159,300 is: 340,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,455.50 : 159,300 = 159,300 : x
  2. Step 2: Convert to fraction form
    74,455.50/159,300 = 159,300/x
  3. Step 3: Cross multiply
    74,455.50x = 159,300 × 159,300
  4. Step 4: Simplify right side
    74,455.50x = 25,376,490,000
  5. Step 5: Solve for x
    x = 25,376,490,000/74,455.50
  6. Step 6: Final answer
    x = 340,827.61

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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.