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Finding the Third Proportional to 141,050 and 216,051

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Solution

The third proportional to 141,050 and 216,051 is: 330,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,050 : 216,051 = 216,051 : x
  2. Step 2: Convert to fraction form
    141,050/216,051 = 216,051/x
  3. Step 3: Cross multiply
    141,050x = 216,051 × 216,051
  4. Step 4: Simplify right side
    141,050x = 46,678,034,601
  5. Step 5: Solve for x
    x = 46,678,034,601/141,050
  6. Step 6: Final answer
    x = 330,932.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.