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Finding the Third Proportional to 72,030 and 155,162

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Solution

The third proportional to 72,030 and 155,162 is: 334,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,030 : 155,162 = 155,162 : x
  2. Step 2: Convert to fraction form
    72,030/155,162 = 155,162/x
  3. Step 3: Cross multiply
    72,030x = 155,162 × 155,162
  4. Step 4: Simplify right side
    72,030x = 24,075,246,244
  5. Step 5: Solve for x
    x = 24,075,246,244/72,030
  6. Step 6: Final answer
    x = 334,239.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.