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Finding the Third Proportional to 100,863.50 and 137,051.50

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Solution

The third proportional to 100,863.50 and 137,051.50 is: 186,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,863.50 : 137,051.50 = 137,051.50 : x
  2. Step 2: Convert to fraction form
    100,863.50/137,051.50 = 137,051.50/x
  3. Step 3: Cross multiply
    100,863.50x = 137,051.50 × 137,051.50
  4. Step 4: Simplify right side
    100,863.50x = 18,783,113,652.25
  5. Step 5: Solve for x
    x = 18,783,113,652.25/100,863.50
  6. Step 6: Final answer
    x = 186,223.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.