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Finding the Third Proportional to 78,828 and 119,060.25

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Solution

The third proportional to 78,828 and 119,060.25 is: 179,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,828 : 119,060.25 = 119,060.25 : x
  2. Step 2: Convert to fraction form
    78,828/119,060.25 = 119,060.25/x
  3. Step 3: Cross multiply
    78,828x = 119,060.25 × 119,060.25
  4. Step 4: Simplify right side
    78,828x = 14,175,343,130.06
  5. Step 5: Solve for x
    x = 14,175,343,130.06/78,828
  6. Step 6: Final answer
    x = 179,826.24

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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.