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Finding the Third Proportional to 72,146 and 158,129

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Solution

The third proportional to 72,146 and 158,129 is: 346,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,146 : 158,129 = 158,129 : x
  2. Step 2: Convert to fraction form
    72,146/158,129 = 158,129/x
  3. Step 3: Cross multiply
    72,146x = 158,129 × 158,129
  4. Step 4: Simplify right side
    72,146x = 25,004,780,641
  5. Step 5: Solve for x
    x = 25,004,780,641/72,146
  6. Step 6: Final answer
    x = 346,585.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.