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Finding the Third Proportional to 113,000 and 243,768

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Solution

The third proportional to 113,000 and 243,768 is: 525,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,000 : 243,768 = 243,768 : x
  2. Step 2: Convert to fraction form
    113,000/243,768 = 243,768/x
  3. Step 3: Cross multiply
    113,000x = 243,768 × 243,768
  4. Step 4: Simplify right side
    113,000x = 59,422,837,824
  5. Step 5: Solve for x
    x = 59,422,837,824/113,000
  6. Step 6: Final answer
    x = 525,865.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.