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Finding the Third Proportional to 92,938.50 and 147,714.75

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Solution

The third proportional to 92,938.50 and 147,714.75 is: 234,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,938.50 : 147,714.75 = 147,714.75 : x
  2. Step 2: Convert to fraction form
    92,938.50/147,714.75 = 147,714.75/x
  3. Step 3: Cross multiply
    92,938.50x = 147,714.75 × 147,714.75
  4. Step 4: Simplify right side
    92,938.50x = 21,819,647,367.56
  5. Step 5: Solve for x
    x = 21,819,647,367.56/92,938.50
  6. Step 6: Final answer
    x = 234,775.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.