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Finding the Third Proportional to 94,047 and 144,022.50

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Solution

The third proportional to 94,047 and 144,022.50 is: 220,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,047 : 144,022.50 = 144,022.50 : x
  2. Step 2: Convert to fraction form
    94,047/144,022.50 = 144,022.50/x
  3. Step 3: Cross multiply
    94,047x = 144,022.50 × 144,022.50
  4. Step 4: Simplify right side
    94,047x = 20,742,480,506.25
  5. Step 5: Solve for x
    x = 20,742,480,506.25/94,047
  6. Step 6: Final answer
    x = 220,554.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.