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Finding the Third Proportional to 69,009.75 and 148,907.25

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Solution

The third proportional to 69,009.75 and 148,907.25 is: 321,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,009.75 : 148,907.25 = 148,907.25 : x
  2. Step 2: Convert to fraction form
    69,009.75/148,907.25 = 148,907.25/x
  3. Step 3: Cross multiply
    69,009.75x = 148,907.25 × 148,907.25
  4. Step 4: Simplify right side
    69,009.75x = 22,173,369,102.56
  5. Step 5: Solve for x
    x = 22,173,369,102.56/69,009.75
  6. Step 6: Final answer
    x = 321,307.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.