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Finding the Third Proportional to 96,495 and 127,174.50

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Solution

The third proportional to 96,495 and 127,174.50 is: 167,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,495 : 127,174.50 = 127,174.50 : x
  2. Step 2: Convert to fraction form
    96,495/127,174.50 = 127,174.50/x
  3. Step 3: Cross multiply
    96,495x = 127,174.50 × 127,174.50
  4. Step 4: Simplify right side
    96,495x = 16,173,353,450.25
  5. Step 5: Solve for x
    x = 16,173,353,450.25/96,495
  6. Step 6: Final answer
    x = 167,608.20

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.