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Finding the Third Proportional to 109,590 and 160,929

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Solution

The third proportional to 109,590 and 160,929 is: 236,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,590 : 160,929 = 160,929 : x
  2. Step 2: Convert to fraction form
    109,590/160,929 = 160,929/x
  3. Step 3: Cross multiply
    109,590x = 160,929 × 160,929
  4. Step 4: Simplify right side
    109,590x = 25,898,143,041
  5. Step 5: Solve for x
    x = 25,898,143,041/109,590
  6. Step 6: Final answer
    x = 236,318.49

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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.