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Finding the Third Proportional to 113,664 and 239,113.50

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Solution

The third proportional to 113,664 and 239,113.50 is: 503,020.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,664 : 239,113.50 = 239,113.50 : x
  2. Step 2: Convert to fraction form
    113,664/239,113.50 = 239,113.50/x
  3. Step 3: Cross multiply
    113,664x = 239,113.50 × 239,113.50
  4. Step 4: Simplify right side
    113,664x = 57,175,265,882.25
  5. Step 5: Solve for x
    x = 57,175,265,882.25/113,664
  6. Step 6: Final answer
    x = 503,020.01

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.