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Finding the Third Proportional to 74,855 and 119,044.50

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Solution

The third proportional to 74,855 and 119,044.50 is: 189,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,855 : 119,044.50 = 119,044.50 : x
  2. Step 2: Convert to fraction form
    74,855/119,044.50 = 119,044.50/x
  3. Step 3: Cross multiply
    74,855x = 119,044.50 × 119,044.50
  4. Step 4: Simplify right side
    74,855x = 14,171,592,980.25
  5. Step 5: Solve for x
    x = 14,171,592,980.25/74,855
  6. Step 6: Final answer
    x = 189,320.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.