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Finding the Third Proportional to 69,092 and 147,664

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Solution

The third proportional to 69,092 and 147,664 is: 315,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,092 : 147,664 = 147,664 : x
  2. Step 2: Convert to fraction form
    69,092/147,664 = 147,664/x
  3. Step 3: Cross multiply
    69,092x = 147,664 × 147,664
  4. Step 4: Simplify right side
    69,092x = 21,804,656,896
  5. Step 5: Solve for x
    x = 21,804,656,896/69,092
  6. Step 6: Final answer
    x = 315,588.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.