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Finding the Third Proportional to 68,465.25 and 102,123

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Solution

The third proportional to 68,465.25 and 102,123 is: 152,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,465.25 : 102,123 = 102,123 : x
  2. Step 2: Convert to fraction form
    68,465.25/102,123 = 102,123/x
  3. Step 3: Cross multiply
    68,465.25x = 102,123 × 102,123
  4. Step 4: Simplify right side
    68,465.25x = 10,429,107,129
  5. Step 5: Solve for x
    x = 10,429,107,129/68,465.25
  6. Step 6: Final answer
    x = 152,327.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.