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Finding the Third Proportional to 85,123.25 and 128,868.50

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Solution

The third proportional to 85,123.25 and 128,868.50 is: 195,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,123.25 : 128,868.50 = 128,868.50 : x
  2. Step 2: Convert to fraction form
    85,123.25/128,868.50 = 128,868.50/x
  3. Step 3: Cross multiply
    85,123.25x = 128,868.50 × 128,868.50
  4. Step 4: Simplify right side
    85,123.25x = 16,607,090,292.25
  5. Step 5: Solve for x
    x = 16,607,090,292.25/85,123.25
  6. Step 6: Final answer
    x = 195,094.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.