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Finding the Third Proportional to 103,549 and 153,865

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Solution

The third proportional to 103,549 and 153,865 is: 228,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,549 : 153,865 = 153,865 : x
  2. Step 2: Convert to fraction form
    103,549/153,865 = 153,865/x
  3. Step 3: Cross multiply
    103,549x = 153,865 × 153,865
  4. Step 4: Simplify right side
    103,549x = 23,674,438,225
  5. Step 5: Solve for x
    x = 23,674,438,225/103,549
  6. Step 6: Final answer
    x = 228,630.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.