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Finding the Third Proportional to 116,583.75 and 180,019.13

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Solution

The third proportional to 116,583.75 and 180,019.13 is: 277,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,583.75 : 180,019.13 = 180,019.13 : x
  2. Step 2: Convert to fraction form
    116,583.75/180,019.13 = 180,019.13/x
  3. Step 3: Cross multiply
    116,583.75x = 180,019.13 × 180,019.13
  4. Step 4: Simplify right side
    116,583.75x = 32,406,885,365.77
  5. Step 5: Solve for x
    x = 32,406,885,365.77/116,583.75
  6. Step 6: Final answer
    x = 277,970.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.