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Finding the Third Proportional to 103,710 and 164,904

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Solution

The third proportional to 103,710 and 164,904 is: 262,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,710 : 164,904 = 164,904 : x
  2. Step 2: Convert to fraction form
    103,710/164,904 = 164,904/x
  3. Step 3: Cross multiply
    103,710x = 164,904 × 164,904
  4. Step 4: Simplify right side
    103,710x = 27,193,329,216
  5. Step 5: Solve for x
    x = 27,193,329,216/103,710
  6. Step 6: Final answer
    x = 262,205.47

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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.