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Finding the Third Proportional to 100,862 and 133,795.50

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Solution

The third proportional to 100,862 and 133,795.50 is: 177,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,862 : 133,795.50 = 133,795.50 : x
  2. Step 2: Convert to fraction form
    100,862/133,795.50 = 133,795.50/x
  3. Step 3: Cross multiply
    100,862x = 133,795.50 × 133,795.50
  4. Step 4: Simplify right side
    100,862x = 17,901,235,820.25
  5. Step 5: Solve for x
    x = 17,901,235,820.25/100,862
  6. Step 6: Final answer
    x = 177,482.46

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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.