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Finding the Third Proportional to 84,024 and 127,795.50

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Solution

The third proportional to 84,024 and 127,795.50 is: 194,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,024 : 127,795.50 = 127,795.50 : x
  2. Step 2: Convert to fraction form
    84,024/127,795.50 = 127,795.50/x
  3. Step 3: Cross multiply
    84,024x = 127,795.50 × 127,795.50
  4. Step 4: Simplify right side
    84,024x = 16,331,689,820.25
  5. Step 5: Solve for x
    x = 16,331,689,820.25/84,024
  6. Step 6: Final answer
    x = 194,369.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.