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Finding the Third Proportional to 103,915.13 and 161,223.75

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Solution

The third proportional to 103,915.13 and 161,223.75 is: 250,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,915.13 : 161,223.75 = 161,223.75 : x
  2. Step 2: Convert to fraction form
    103,915.13/161,223.75 = 161,223.75/x
  3. Step 3: Cross multiply
    103,915.13x = 161,223.75 × 161,223.75
  4. Step 4: Simplify right side
    103,915.13x = 25,993,097,564.06
  5. Step 5: Solve for x
    x = 25,993,097,564.06/103,915.13
  6. Step 6: Final answer
    x = 250,137.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.