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Finding the Third Proportional to 66,658 and 106,008

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Solution

The third proportional to 66,658 and 106,008 is: 168,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,658 : 106,008 = 106,008 : x
  2. Step 2: Convert to fraction form
    66,658/106,008 = 106,008/x
  3. Step 3: Cross multiply
    66,658x = 106,008 × 106,008
  4. Step 4: Simplify right side
    66,658x = 11,237,696,064
  5. Step 5: Solve for x
    x = 11,237,696,064/66,658
  6. Step 6: Final answer
    x = 168,587.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.