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Finding the Third Proportional to 116,283.50 and 157,813.50

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Solution

The third proportional to 116,283.50 and 157,813.50 is: 214,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,283.50 : 157,813.50 = 157,813.50 : x
  2. Step 2: Convert to fraction form
    116,283.50/157,813.50 = 157,813.50/x
  3. Step 3: Cross multiply
    116,283.50x = 157,813.50 × 157,813.50
  4. Step 4: Simplify right side
    116,283.50x = 24,905,100,782.25
  5. Step 5: Solve for x
    x = 24,905,100,782.25/116,283.50
  6. Step 6: Final answer
    x = 214,175.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.