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Finding the Third Proportional to 73,527 and 161,058

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Solution

The third proportional to 73,527 and 161,058 is: 352,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,527 : 161,058 = 161,058 : x
  2. Step 2: Convert to fraction form
    73,527/161,058 = 161,058/x
  3. Step 3: Cross multiply
    73,527x = 161,058 × 161,058
  4. Step 4: Simplify right side
    73,527x = 25,939,679,364
  5. Step 5: Solve for x
    x = 25,939,679,364/73,527
  6. Step 6: Final answer
    x = 352,791.21

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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.