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Finding the Third Proportional to 115,963.50 and 165,385.50

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Solution

The third proportional to 115,963.50 and 165,385.50 is: 235,870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,963.50 : 165,385.50 = 165,385.50 : x
  2. Step 2: Convert to fraction form
    115,963.50/165,385.50 = 165,385.50/x
  3. Step 3: Cross multiply
    115,963.50x = 165,385.50 × 165,385.50
  4. Step 4: Simplify right side
    115,963.50x = 27,352,363,610.25
  5. Step 5: Solve for x
    x = 27,352,363,610.25/115,963.50
  6. Step 6: Final answer
    x = 235,870.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.