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Finding the Third Proportional to 100,775 and 148,855.50

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Solution

The third proportional to 100,775 and 148,855.50 is: 219,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,775 : 148,855.50 = 148,855.50 : x
  2. Step 2: Convert to fraction form
    100,775/148,855.50 = 148,855.50/x
  3. Step 3: Cross multiply
    100,775x = 148,855.50 × 148,855.50
  4. Step 4: Simplify right side
    100,775x = 22,157,959,880.25
  5. Step 5: Solve for x
    x = 22,157,959,880.25/100,775
  6. Step 6: Final answer
    x = 219,875.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.