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Finding the Third Proportional to 69,070 and 106,656

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Solution

The third proportional to 69,070 and 106,656 is: 164,695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,070 : 106,656 = 106,656 : x
  2. Step 2: Convert to fraction form
    69,070/106,656 = 106,656/x
  3. Step 3: Cross multiply
    69,070x = 106,656 × 106,656
  4. Step 4: Simplify right side
    69,070x = 11,375,502,336
  5. Step 5: Solve for x
    x = 11,375,502,336/69,070
  6. Step 6: Final answer
    x = 164,695.27

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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.