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Finding the Third Proportional to 60,682.50 and 96,950.25

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Solution

The third proportional to 60,682.50 and 96,950.25 is: 154,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,682.50 : 96,950.25 = 96,950.25 : x
  2. Step 2: Convert to fraction form
    60,682.50/96,950.25 = 96,950.25/x
  3. Step 3: Cross multiply
    60,682.50x = 96,950.25 × 96,950.25
  4. Step 4: Simplify right side
    60,682.50x = 9,399,350,975.06
  5. Step 5: Solve for x
    x = 9,399,350,975.06/60,682.50
  6. Step 6: Final answer
    x = 154,893.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.