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Finding the Third Proportional to 34,834.50 and 75,258

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Solution

The third proportional to 34,834.50 and 75,258 is: 162,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,834.50 : 75,258 = 75,258 : x
  2. Step 2: Convert to fraction form
    34,834.50/75,258 = 75,258/x
  3. Step 3: Cross multiply
    34,834.50x = 75,258 × 75,258
  4. Step 4: Simplify right side
    34,834.50x = 5,663,766,564
  5. Step 5: Solve for x
    x = 5,663,766,564/34,834.50
  6. Step 6: Final answer
    x = 162,590.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.