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Finding the Third Proportional to 70,152 and 105,308

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Solution

The third proportional to 70,152 and 105,308 is: 158,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152 : 105,308 = 105,308 : x
  2. Step 2: Convert to fraction form
    70,152/105,308 = 105,308/x
  3. Step 3: Cross multiply
    70,152x = 105,308 × 105,308
  4. Step 4: Simplify right side
    70,152x = 11,089,774,864
  5. Step 5: Solve for x
    x = 11,089,774,864/70,152
  6. Step 6: Final answer
    x = 158,082.09

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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.