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Finding the Third Proportional to 30,130 and 65,619.50

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Solution

The third proportional to 30,130 and 65,619.50 is: 142,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,130 : 65,619.50 = 65,619.50 : x
  2. Step 2: Convert to fraction form
    30,130/65,619.50 = 65,619.50/x
  3. Step 3: Cross multiply
    30,130x = 65,619.50 × 65,619.50
  4. Step 4: Simplify right side
    30,130x = 4,305,918,780.25
  5. Step 5: Solve for x
    x = 4,305,918,780.25/30,130
  6. Step 6: Final answer
    x = 142,911.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.