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Finding the Third Proportional to 68,688 and 102,890.25

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Solution

The third proportional to 68,688 and 102,890.25 is: 154,123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,688 : 102,890.25 = 102,890.25 : x
  2. Step 2: Convert to fraction form
    68,688/102,890.25 = 102,890.25/x
  3. Step 3: Cross multiply
    68,688x = 102,890.25 × 102,890.25
  4. Step 4: Simplify right side
    68,688x = 10,586,403,545.06
  5. Step 5: Solve for x
    x = 10,586,403,545.06/68,688
  6. Step 6: Final answer
    x = 154,123.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.