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Finding the Third Proportional to 105,464 and 158,331

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Solution

The third proportional to 105,464 and 158,331 is: 237,699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,464 : 158,331 = 158,331 : x
  2. Step 2: Convert to fraction form
    105,464/158,331 = 158,331/x
  3. Step 3: Cross multiply
    105,464x = 158,331 × 158,331
  4. Step 4: Simplify right side
    105,464x = 25,068,705,561
  5. Step 5: Solve for x
    x = 25,068,705,561/105,464
  6. Step 6: Final answer
    x = 237,699.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.