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Finding the Third Proportional to 103,639 and 160,515

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Solution

The third proportional to 103,639 and 160,515 is: 248,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639 : 160,515 = 160,515 : x
  2. Step 2: Convert to fraction form
    103,639/160,515 = 160,515/x
  3. Step 3: Cross multiply
    103,639x = 160,515 × 160,515
  4. Step 4: Simplify right side
    103,639x = 25,765,065,225
  5. Step 5: Solve for x
    x = 25,765,065,225/103,639
  6. Step 6: Final answer
    x = 248,603.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.