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Finding the Third Proportional to 109,083 and 160,031

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Solution

The third proportional to 109,083 and 160,031 is: 234,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,083 : 160,031 = 160,031 : x
  2. Step 2: Convert to fraction form
    109,083/160,031 = 160,031/x
  3. Step 3: Cross multiply
    109,083x = 160,031 × 160,031
  4. Step 4: Simplify right side
    109,083x = 25,609,920,961
  5. Step 5: Solve for x
    x = 25,609,920,961/109,083
  6. Step 6: Final answer
    x = 234,774.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.