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Finding the Third Proportional to 42,201 and 99,619.88

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Solution

The third proportional to 42,201 and 99,619.88 is: 235,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,201 : 99,619.88 = 99,619.88 : x
  2. Step 2: Convert to fraction form
    42,201/99,619.88 = 99,619.88/x
  3. Step 3: Cross multiply
    42,201x = 99,619.88 × 99,619.88
  4. Step 4: Simplify right side
    42,201x = 9,924,119,495.02
  5. Step 5: Solve for x
    x = 9,924,119,495.02/42,201
  6. Step 6: Final answer
    x = 235,163.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.