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Finding the Third Proportional to 101,484 and 144,244.50

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Solution

The third proportional to 101,484 and 144,244.50 is: 205,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,484 : 144,244.50 = 144,244.50 : x
  2. Step 2: Convert to fraction form
    101,484/144,244.50 = 144,244.50/x
  3. Step 3: Cross multiply
    101,484x = 144,244.50 × 144,244.50
  4. Step 4: Simplify right side
    101,484x = 20,806,475,780.25
  5. Step 5: Solve for x
    x = 20,806,475,780.25/101,484
  6. Step 6: Final answer
    x = 205,022.23

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.