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Finding the Third Proportional to 66,999.66 and 102,632.06

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Solution

The third proportional to 66,999.66 and 102,632.06 is: 157,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,999.66 : 102,632.06 = 102,632.06 : x
  2. Step 2: Convert to fraction form
    66,999.66/102,632.06 = 102,632.06/x
  3. Step 3: Cross multiply
    66,999.66x = 102,632.06 × 102,632.06
  4. Step 4: Simplify right side
    66,999.66x = 10,533,340,253.00
  5. Step 5: Solve for x
    x = 10,533,340,253.00/66,999.66
  6. Step 6: Final answer
    x = 157,214.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.