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Finding the Third Proportional to 62,925 and 95,193.50

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Solution

The third proportional to 62,925 and 95,193.50 is: 144,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,925 : 95,193.50 = 95,193.50 : x
  2. Step 2: Convert to fraction form
    62,925/95,193.50 = 95,193.50/x
  3. Step 3: Cross multiply
    62,925x = 95,193.50 × 95,193.50
  4. Step 4: Simplify right side
    62,925x = 9,061,802,442.25
  5. Step 5: Solve for x
    x = 9,061,802,442.25/62,925
  6. Step 6: Final answer
    x = 144,009.57

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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.