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Finding the Third Proportional to 65,596.50 and 103,124.81

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Solution

The third proportional to 65,596.50 and 103,124.81 is: 162,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,596.50 : 103,124.81 = 103,124.81 : x
  2. Step 2: Convert to fraction form
    65,596.50/103,124.81 = 103,124.81/x
  3. Step 3: Cross multiply
    65,596.50x = 103,124.81 × 103,124.81
  4. Step 4: Simplify right side
    65,596.50x = 10,634,726,953.16
  5. Step 5: Solve for x
    x = 10,634,726,953.16/65,596.50
  6. Step 6: Final answer
    x = 162,123.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.