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Finding the Third Proportional to 69,616 and 151,776

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Solution

The third proportional to 69,616 and 151,776 is: 330,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,616 : 151,776 = 151,776 : x
  2. Step 2: Convert to fraction form
    69,616/151,776 = 151,776/x
  3. Step 3: Cross multiply
    69,616x = 151,776 × 151,776
  4. Step 4: Simplify right side
    69,616x = 23,035,954,176
  5. Step 5: Solve for x
    x = 23,035,954,176/69,616
  6. Step 6: Final answer
    x = 330,900.28

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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.