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Finding the Third Proportional to 48,464 and 105,929

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Solution

The third proportional to 48,464 and 105,929 is: 231,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,464 : 105,929 = 105,929 : x
  2. Step 2: Convert to fraction form
    48,464/105,929 = 105,929/x
  3. Step 3: Cross multiply
    48,464x = 105,929 × 105,929
  4. Step 4: Simplify right side
    48,464x = 11,220,953,041
  5. Step 5: Solve for x
    x = 11,220,953,041/48,464
  6. Step 6: Final answer
    x = 231,531.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.