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Finding the Third Proportional to 105,028 and 157,176

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Solution

The third proportional to 105,028 and 157,176 is: 235,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,028 : 157,176 = 157,176 : x
  2. Step 2: Convert to fraction form
    105,028/157,176 = 157,176/x
  3. Step 3: Cross multiply
    105,028x = 157,176 × 157,176
  4. Step 4: Simplify right side
    105,028x = 24,704,294,976
  5. Step 5: Solve for x
    x = 24,704,294,976/105,028
  6. Step 6: Final answer
    x = 235,216.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.