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Finding the Third Proportional to 105,266.74 and 161,804.25

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Solution

The third proportional to 105,266.74 and 161,804.25 is: 248,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,266.74 : 161,804.25 = 161,804.25 : x
  2. Step 2: Convert to fraction form
    105,266.74/161,804.25 = 161,804.25/x
  3. Step 3: Cross multiply
    105,266.74x = 161,804.25 × 161,804.25
  4. Step 4: Simplify right side
    105,266.74x = 26,180,615,318.06
  5. Step 5: Solve for x
    x = 26,180,615,318.06/105,266.74
  6. Step 6: Final answer
    x = 248,707.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.