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Finding the Third Proportional to 105,062 and 161,480

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Solution

The third proportional to 105,062 and 161,480 is: 248,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,062 : 161,480 = 161,480 : x
  2. Step 2: Convert to fraction form
    105,062/161,480 = 161,480/x
  3. Step 3: Cross multiply
    105,062x = 161,480 × 161,480
  4. Step 4: Simplify right side
    105,062x = 26,075,790,400
  5. Step 5: Solve for x
    x = 26,075,790,400/105,062
  6. Step 6: Final answer
    x = 248,194.31

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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.