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Finding the Third Proportional to 101,113 and 154,889

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Solution

The third proportional to 101,113 and 154,889 is: 237,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,113 : 154,889 = 154,889 : x
  2. Step 2: Convert to fraction form
    101,113/154,889 = 154,889/x
  3. Step 3: Cross multiply
    101,113x = 154,889 × 154,889
  4. Step 4: Simplify right side
    101,113x = 23,990,602,321
  5. Step 5: Solve for x
    x = 23,990,602,321/101,113
  6. Step 6: Final answer
    x = 237,265.26

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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.