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Finding the Third Proportional to 69,620 and 151,784

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Solution

The third proportional to 69,620 and 151,784 is: 330,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,620 : 151,784 = 151,784 : x
  2. Step 2: Convert to fraction form
    69,620/151,784 = 151,784/x
  3. Step 3: Cross multiply
    69,620x = 151,784 × 151,784
  4. Step 4: Simplify right side
    69,620x = 23,038,382,656
  5. Step 5: Solve for x
    x = 23,038,382,656/69,620
  6. Step 6: Final answer
    x = 330,916.15

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Why These Related Problems?

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