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Finding the Third Proportional to 103,639 and 164,804

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Solution

The third proportional to 103,639 and 164,804 is: 262,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639 : 164,804 = 164,804 : x
  2. Step 2: Convert to fraction form
    103,639/164,804 = 164,804/x
  3. Step 3: Cross multiply
    103,639x = 164,804 × 164,804
  4. Step 4: Simplify right side
    103,639x = 27,160,358,416
  5. Step 5: Solve for x
    x = 27,160,358,416/103,639
  6. Step 6: Final answer
    x = 262,066.97

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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.