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Finding the Third Proportional to 76,521.50 and 162,306

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Solution

The third proportional to 76,521.50 and 162,306 is: 344,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,521.50 : 162,306 = 162,306 : x
  2. Step 2: Convert to fraction form
    76,521.50/162,306 = 162,306/x
  3. Step 3: Cross multiply
    76,521.50x = 162,306 × 162,306
  4. Step 4: Simplify right side
    76,521.50x = 26,343,237,636
  5. Step 5: Solve for x
    x = 26,343,237,636/76,521.50
  6. Step 6: Final answer
    x = 344,259.29

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.