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Finding the Third Proportional to 120,001.50 and 254,763

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Solution

The third proportional to 120,001.50 and 254,763 is: 540,861.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,001.50 : 254,763 = 254,763 : x
  2. Step 2: Convert to fraction form
    120,001.50/254,763 = 254,763/x
  3. Step 3: Cross multiply
    120,001.50x = 254,763 × 254,763
  4. Step 4: Simplify right side
    120,001.50x = 64,904,186,169
  5. Step 5: Solve for x
    x = 64,904,186,169/120,001.50
  6. Step 6: Final answer
    x = 540,861.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.