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Finding the Third Proportional to 69,152 and 106,798

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Solution

The third proportional to 69,152 and 106,798 is: 164,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,152 : 106,798 = 106,798 : x
  2. Step 2: Convert to fraction form
    69,152/106,798 = 106,798/x
  3. Step 3: Cross multiply
    69,152x = 106,798 × 106,798
  4. Step 4: Simplify right side
    69,152x = 11,405,812,804
  5. Step 5: Solve for x
    x = 11,405,812,804/69,152
  6. Step 6: Final answer
    x = 164,938.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.