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Finding the Third Proportional to 94,546 and 139,952

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Solution

The third proportional to 94,546 and 139,952 is: 207,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,546 : 139,952 = 139,952 : x
  2. Step 2: Convert to fraction form
    94,546/139,952 = 139,952/x
  3. Step 3: Cross multiply
    94,546x = 139,952 × 139,952
  4. Step 4: Simplify right side
    94,546x = 19,586,562,304
  5. Step 5: Solve for x
    x = 19,586,562,304/94,546
  6. Step 6: Final answer
    x = 207,164.37

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.