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Finding the Third Proportional to 35,130 and 76,213.50

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Solution

The third proportional to 35,130 and 76,213.50 is: 165,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,130 : 76,213.50 = 76,213.50 : x
  2. Step 2: Convert to fraction form
    35,130/76,213.50 = 76,213.50/x
  3. Step 3: Cross multiply
    35,130x = 76,213.50 × 76,213.50
  4. Step 4: Simplify right side
    35,130x = 5,808,497,582.25
  5. Step 5: Solve for x
    x = 5,808,497,582.25/35,130
  6. Step 6: Final answer
    x = 165,342.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.