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Finding the Third Proportional to 72,463 and 114,531

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Solution

The third proportional to 72,463 and 114,531 is: 181,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,463 : 114,531 = 114,531 : x
  2. Step 2: Convert to fraction form
    72,463/114,531 = 114,531/x
  3. Step 3: Cross multiply
    72,463x = 114,531 × 114,531
  4. Step 4: Simplify right side
    72,463x = 13,117,349,961
  5. Step 5: Solve for x
    x = 13,117,349,961/72,463
  6. Step 6: Final answer
    x = 181,021.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.