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Finding the Third Proportional to 79,034 and 118,553.50

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Solution

The third proportional to 79,034 and 118,553.50 is: 177,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,034 : 118,553.50 = 118,553.50 : x
  2. Step 2: Convert to fraction form
    79,034/118,553.50 = 118,553.50/x
  3. Step 3: Cross multiply
    79,034x = 118,553.50 × 118,553.50
  4. Step 4: Simplify right side
    79,034x = 14,054,932,362.25
  5. Step 5: Solve for x
    x = 14,054,932,362.25/79,034
  6. Step 6: Final answer
    x = 177,834.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.