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Finding the Third Proportional to 84,828 and 134,300

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Solution

The third proportional to 84,828 and 134,300 is: 212,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,828 : 134,300 = 134,300 : x
  2. Step 2: Convert to fraction form
    84,828/134,300 = 134,300/x
  3. Step 3: Cross multiply
    84,828x = 134,300 × 134,300
  4. Step 4: Simplify right side
    84,828x = 18,036,490,000
  5. Step 5: Solve for x
    x = 18,036,490,000/84,828
  6. Step 6: Final answer
    x = 212,624.25

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.