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Finding the Third Proportional to 100,039.50 and 146,312.25

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Solution

The third proportional to 100,039.50 and 146,312.25 is: 213,988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,039.50 : 146,312.25 = 146,312.25 : x
  2. Step 2: Convert to fraction form
    100,039.50/146,312.25 = 146,312.25/x
  3. Step 3: Cross multiply
    100,039.50x = 146,312.25 × 146,312.25
  4. Step 4: Simplify right side
    100,039.50x = 21,407,274,500.06
  5. Step 5: Solve for x
    x = 21,407,274,500.06/100,039.50
  6. Step 6: Final answer
    x = 213,988.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.