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Finding the Third Proportional to 101,804 and 155,338.50

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Solution

The third proportional to 101,804 and 155,338.50 is: 237,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,804 : 155,338.50 = 155,338.50 : x
  2. Step 2: Convert to fraction form
    101,804/155,338.50 = 155,338.50/x
  3. Step 3: Cross multiply
    101,804x = 155,338.50 × 155,338.50
  4. Step 4: Simplify right side
    101,804x = 24,130,049,582.25
  5. Step 5: Solve for x
    x = 24,130,049,582.25/101,804
  6. Step 6: Final answer
    x = 237,024.57

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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.