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Finding the Third Proportional to 77,804.75 and 110,101

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Solution

The third proportional to 77,804.75 and 110,101 is: 155,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,804.75 : 110,101 = 110,101 : x
  2. Step 2: Convert to fraction form
    77,804.75/110,101 = 110,101/x
  3. Step 3: Cross multiply
    77,804.75x = 110,101 × 110,101
  4. Step 4: Simplify right side
    77,804.75x = 12,122,230,201
  5. Step 5: Solve for x
    x = 12,122,230,201/77,804.75
  6. Step 6: Final answer
    x = 155,803.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.