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Finding the Third Proportional to 101,237 and 154,921.50

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Solution

The third proportional to 101,237 and 154,921.50 is: 237,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,237 : 154,921.50 = 154,921.50 : x
  2. Step 2: Convert to fraction form
    101,237/154,921.50 = 154,921.50/x
  3. Step 3: Cross multiply
    101,237x = 154,921.50 × 154,921.50
  4. Step 4: Simplify right side
    101,237x = 24,000,671,162.25
  5. Step 5: Solve for x
    x = 24,000,671,162.25/101,237
  6. Step 6: Final answer
    x = 237,074.10

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.