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Finding the Third Proportional to 56,584.50 and 119,365.50

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Solution

The third proportional to 56,584.50 and 119,365.50 is: 251,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,584.50 : 119,365.50 = 119,365.50 : x
  2. Step 2: Convert to fraction form
    56,584.50/119,365.50 = 119,365.50/x
  3. Step 3: Cross multiply
    56,584.50x = 119,365.50 × 119,365.50
  4. Step 4: Simplify right side
    56,584.50x = 14,248,122,590.25
  5. Step 5: Solve for x
    x = 14,248,122,590.25/56,584.50
  6. Step 6: Final answer
    x = 251,802.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.