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Finding the Third Proportional to 78,041.25 and 165,802.50

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Solution

The third proportional to 78,041.25 and 165,802.50 is: 352,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,041.25 : 165,802.50 = 165,802.50 : x
  2. Step 2: Convert to fraction form
    78,041.25/165,802.50 = 165,802.50/x
  3. Step 3: Cross multiply
    78,041.25x = 165,802.50 × 165,802.50
  4. Step 4: Simplify right side
    78,041.25x = 27,490,469,006.25
  5. Step 5: Solve for x
    x = 27,490,469,006.25/78,041.25
  6. Step 6: Final answer
    x = 352,255.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.