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Finding the Third Proportional to 78,469 and 119,539.50

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Solution

The third proportional to 78,469 and 119,539.50 is: 182,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469 : 119,539.50 = 119,539.50 : x
  2. Step 2: Convert to fraction form
    78,469/119,539.50 = 119,539.50/x
  3. Step 3: Cross multiply
    78,469x = 119,539.50 × 119,539.50
  4. Step 4: Simplify right side
    78,469x = 14,289,692,060.25
  5. Step 5: Solve for x
    x = 14,289,692,060.25/78,469
  6. Step 6: Final answer
    x = 182,106.21

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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.