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Finding the Third Proportional to 77,969.25 and 183,937.50

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Solution

The third proportional to 77,969.25 and 183,937.50 is: 433,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,969.25 : 183,937.50 = 183,937.50 : x
  2. Step 2: Convert to fraction form
    77,969.25/183,937.50 = 183,937.50/x
  3. Step 3: Cross multiply
    77,969.25x = 183,937.50 × 183,937.50
  4. Step 4: Simplify right side
    77,969.25x = 33,833,003,906.25
  5. Step 5: Solve for x
    x = 33,833,003,906.25/77,969.25
  6. Step 6: Final answer
    x = 433,927.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.