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Finding the Third Proportional to 100,263 and 133,798.50

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Solution

The third proportional to 100,263 and 133,798.50 is: 178,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,263 : 133,798.50 = 133,798.50 : x
  2. Step 2: Convert to fraction form
    100,263/133,798.50 = 133,798.50/x
  3. Step 3: Cross multiply
    100,263x = 133,798.50 × 133,798.50
  4. Step 4: Simplify right side
    100,263x = 17,902,038,602.25
  5. Step 5: Solve for x
    x = 17,902,038,602.25/100,263
  6. Step 6: Final answer
    x = 178,550.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.