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Finding the Third Proportional to 66,176 and 99,276

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Solution

The third proportional to 66,176 and 99,276 is: 148,932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,176 : 99,276 = 99,276 : x
  2. Step 2: Convert to fraction form
    66,176/99,276 = 99,276/x
  3. Step 3: Cross multiply
    66,176x = 99,276 × 99,276
  4. Step 4: Simplify right side
    66,176x = 9,855,724,176
  5. Step 5: Solve for x
    x = 9,855,724,176/66,176
  6. Step 6: Final answer
    x = 148,932.00

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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.