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Finding the Third Proportional to 75,365.25 and 119,966.63

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Solution

The third proportional to 75,365.25 and 119,966.63 is: 190,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,365.25 : 119,966.63 = 119,966.63 : x
  2. Step 2: Convert to fraction form
    75,365.25/119,966.63 = 119,966.63/x
  3. Step 3: Cross multiply
    75,365.25x = 119,966.63 × 119,966.63
  4. Step 4: Simplify right side
    75,365.25x = 14,391,991,113.89
  5. Step 5: Solve for x
    x = 14,391,991,113.89/75,365.25
  6. Step 6: Final answer
    x = 190,963.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.