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Finding the Third Proportional to 109,360 and 158,044

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Solution

The third proportional to 109,360 and 158,044 is: 228,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,360 : 158,044 = 158,044 : x
  2. Step 2: Convert to fraction form
    109,360/158,044 = 158,044/x
  3. Step 3: Cross multiply
    109,360x = 158,044 × 158,044
  4. Step 4: Simplify right side
    109,360x = 24,977,905,936
  5. Step 5: Solve for x
    x = 24,977,905,936/109,360
  6. Step 6: Final answer
    x = 228,400.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.