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Finding the Third Proportional to 77,885.25 and 170,185.50

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Solution

The third proportional to 77,885.25 and 170,185.50 is: 371,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,885.25 : 170,185.50 = 170,185.50 : x
  2. Step 2: Convert to fraction form
    77,885.25/170,185.50 = 170,185.50/x
  3. Step 3: Cross multiply
    77,885.25x = 170,185.50 × 170,185.50
  4. Step 4: Simplify right side
    77,885.25x = 28,963,104,410.25
  5. Step 5: Solve for x
    x = 28,963,104,410.25/77,885.25
  6. Step 6: Final answer
    x = 371,868.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.