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Finding the Third Proportional to 89,954.50 and 172,862

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Solution

The third proportional to 89,954.50 and 172,862 is: 332,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,954.50 : 172,862 = 172,862 : x
  2. Step 2: Convert to fraction form
    89,954.50/172,862 = 172,862/x
  3. Step 3: Cross multiply
    89,954.50x = 172,862 × 172,862
  4. Step 4: Simplify right side
    89,954.50x = 29,881,271,044
  5. Step 5: Solve for x
    x = 29,881,271,044/89,954.50
  6. Step 6: Final answer
    x = 332,182.06

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.