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Finding the Third Proportional to 78,927 and 119,206.50

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Solution

The third proportional to 78,927 and 119,206.50 is: 180,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,927 : 119,206.50 = 119,206.50 : x
  2. Step 2: Convert to fraction form
    78,927/119,206.50 = 119,206.50/x
  3. Step 3: Cross multiply
    78,927x = 119,206.50 × 119,206.50
  4. Step 4: Simplify right side
    78,927x = 14,210,189,642.25
  5. Step 5: Solve for x
    x = 14,210,189,642.25/78,927
  6. Step 6: Final answer
    x = 180,042.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.