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Finding the Third Proportional to 80,848.50 and 170,075.25

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Solution

The third proportional to 80,848.50 and 170,075.25 is: 357,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,848.50 : 170,075.25 = 170,075.25 : x
  2. Step 2: Convert to fraction form
    80,848.50/170,075.25 = 170,075.25/x
  3. Step 3: Cross multiply
    80,848.50x = 170,075.25 × 170,075.25
  4. Step 4: Simplify right side
    80,848.50x = 28,925,590,662.56
  5. Step 5: Solve for x
    x = 28,925,590,662.56/80,848.50
  6. Step 6: Final answer
    x = 357,775.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.