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Finding the Third Proportional to 75,522 and 102,205.50

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Solution

The third proportional to 75,522 and 102,205.50 is: 138,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,522 : 102,205.50 = 102,205.50 : x
  2. Step 2: Convert to fraction form
    75,522/102,205.50 = 102,205.50/x
  3. Step 3: Cross multiply
    75,522x = 102,205.50 × 102,205.50
  4. Step 4: Simplify right side
    75,522x = 10,445,964,230.25
  5. Step 5: Solve for x
    x = 10,445,964,230.25/75,522
  6. Step 6: Final answer
    x = 138,316.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.