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Finding the Third Proportional to 113,732 and 248,968

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Solution

The third proportional to 113,732 and 248,968 is: 545,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,732 : 248,968 = 248,968 : x
  2. Step 2: Convert to fraction form
    113,732/248,968 = 248,968/x
  3. Step 3: Cross multiply
    113,732x = 248,968 × 248,968
  4. Step 4: Simplify right side
    113,732x = 61,985,065,024
  5. Step 5: Solve for x
    x = 61,985,065,024/113,732
  6. Step 6: Final answer
    x = 545,009.89

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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.