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Finding the Third Proportional to 111,537 and 245,187

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Solution

The third proportional to 111,537 and 245,187 is: 538,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,537 : 245,187 = 245,187 : x
  2. Step 2: Convert to fraction form
    111,537/245,187 = 245,187/x
  3. Step 3: Cross multiply
    111,537x = 245,187 × 245,187
  4. Step 4: Simplify right side
    111,537x = 60,116,664,969
  5. Step 5: Solve for x
    x = 60,116,664,969/111,537
  6. Step 6: Final answer
    x = 538,984.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.