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Finding the Third Proportional to 30,159 and 65,176.50

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Solution

The third proportional to 30,159 and 65,176.50 is: 140,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159 : 65,176.50 = 65,176.50 : x
  2. Step 2: Convert to fraction form
    30,159/65,176.50 = 65,176.50/x
  3. Step 3: Cross multiply
    30,159x = 65,176.50 × 65,176.50
  4. Step 4: Simplify right side
    30,159x = 4,247,976,152.25
  5. Step 5: Solve for x
    x = 4,247,976,152.25/30,159
  6. Step 6: Final answer
    x = 140,852.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.