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Finding the Third Proportional to 157,091 and 235,123

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Solution

The third proportional to 157,091 and 235,123 is: 351,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,091 : 235,123 = 235,123 : x
  2. Step 2: Convert to fraction form
    157,091/235,123 = 235,123/x
  3. Step 3: Cross multiply
    157,091x = 235,123 × 235,123
  4. Step 4: Simplify right side
    157,091x = 55,282,825,129
  5. Step 5: Solve for x
    x = 55,282,825,129/157,091
  6. Step 6: Final answer
    x = 351,915.93

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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.