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Finding the Third Proportional to 98,032 and 147,066

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Solution

The third proportional to 98,032 and 147,066 is: 220,626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,032 : 147,066 = 147,066 : x
  2. Step 2: Convert to fraction form
    98,032/147,066 = 147,066/x
  3. Step 3: Cross multiply
    98,032x = 147,066 × 147,066
  4. Step 4: Simplify right side
    98,032x = 21,628,408,356
  5. Step 5: Solve for x
    x = 21,628,408,356/98,032
  6. Step 6: Final answer
    x = 220,626.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.