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Finding the Third Proportional to 66,152 and 96,308

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Solution

The third proportional to 66,152 and 96,308 is: 140,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,152 : 96,308 = 96,308 : x
  2. Step 2: Convert to fraction form
    66,152/96,308 = 96,308/x
  3. Step 3: Cross multiply
    66,152x = 96,308 × 96,308
  4. Step 4: Simplify right side
    66,152x = 9,275,230,864
  5. Step 5: Solve for x
    x = 9,275,230,864/66,152
  6. Step 6: Final answer
    x = 140,210.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.