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Finding the Third Proportional to 62,154 and 95,377.50

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Solution

The third proportional to 62,154 and 95,377.50 is: 146,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,154 : 95,377.50 = 95,377.50 : x
  2. Step 2: Convert to fraction form
    62,154/95,377.50 = 95,377.50/x
  3. Step 3: Cross multiply
    62,154x = 95,377.50 × 95,377.50
  4. Step 4: Simplify right side
    62,154x = 9,096,867,506.25
  5. Step 5: Solve for x
    x = 9,096,867,506.25/62,154
  6. Step 6: Final answer
    x = 146,360.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.