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Finding the Third Proportional to 47,142 and 99,132

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Solution

The third proportional to 47,142 and 99,132 is: 208,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,142 : 99,132 = 99,132 : x
  2. Step 2: Convert to fraction form
    47,142/99,132 = 99,132/x
  3. Step 3: Cross multiply
    47,142x = 99,132 × 99,132
  4. Step 4: Simplify right side
    47,142x = 9,827,153,424
  5. Step 5: Solve for x
    x = 9,827,153,424/47,142
  6. Step 6: Final answer
    x = 208,458.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.