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Finding the Third Proportional to 105,758 and 155,721

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Solution

The third proportional to 105,758 and 155,721 is: 229,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,758 : 155,721 = 155,721 : x
  2. Step 2: Convert to fraction form
    105,758/155,721 = 155,721/x
  3. Step 3: Cross multiply
    105,758x = 155,721 × 155,721
  4. Step 4: Simplify right side
    105,758x = 24,249,029,841
  5. Step 5: Solve for x
    x = 24,249,029,841/105,758
  6. Step 6: Final answer
    x = 229,287.90

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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.