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Finding the Third Proportional to 69,106.50 and 150,718.50

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Solution

The third proportional to 69,106.50 and 150,718.50 is: 328,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106.50 : 150,718.50 = 150,718.50 : x
  2. Step 2: Convert to fraction form
    69,106.50/150,718.50 = 150,718.50/x
  3. Step 3: Cross multiply
    69,106.50x = 150,718.50 × 150,718.50
  4. Step 4: Simplify right side
    69,106.50x = 22,716,066,242.25
  5. Step 5: Solve for x
    x = 22,716,066,242.25/69,106.50
  6. Step 6: Final answer
    x = 328,710.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.