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Finding the Third Proportional to 69,106 and 106,712

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Solution

The third proportional to 69,106 and 106,712 is: 164,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106 : 106,712 = 106,712 : x
  2. Step 2: Convert to fraction form
    69,106/106,712 = 106,712/x
  3. Step 3: Cross multiply
    69,106x = 106,712 × 106,712
  4. Step 4: Simplify right side
    69,106x = 11,387,450,944
  5. Step 5: Solve for x
    x = 11,387,450,944/69,106
  6. Step 6: Final answer
    x = 164,782.38

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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.