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Finding the Third Proportional to 66,632.63 and 105,492.38

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Solution

The third proportional to 66,632.63 and 105,492.38 is: 167,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,632.63 : 105,492.38 = 105,492.38 : x
  2. Step 2: Convert to fraction form
    66,632.63/105,492.38 = 105,492.38/x
  3. Step 3: Cross multiply
    66,632.63x = 105,492.38 × 105,492.38
  4. Step 4: Simplify right side
    66,632.63x = 11,128,641,183.14
  5. Step 5: Solve for x
    x = 11,128,641,183.14/66,632.63
  6. Step 6: Final answer
    x = 167,014.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.