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Finding the Third Proportional to 94,999.50 and 150,421.50

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Solution

The third proportional to 94,999.50 and 150,421.50 is: 238,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,999.50 : 150,421.50 = 150,421.50 : x
  2. Step 2: Convert to fraction form
    94,999.50/150,421.50 = 150,421.50/x
  3. Step 3: Cross multiply
    94,999.50x = 150,421.50 × 150,421.50
  4. Step 4: Simplify right side
    94,999.50x = 22,626,627,662.25
  5. Step 5: Solve for x
    x = 22,626,627,662.25/94,999.50
  6. Step 6: Final answer
    x = 238,176.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.