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Finding the Third Proportional to 65,772 and 144,038.25

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Solution

The third proportional to 65,772 and 144,038.25 is: 315,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,772 : 144,038.25 = 144,038.25 : x
  2. Step 2: Convert to fraction form
    65,772/144,038.25 = 144,038.25/x
  3. Step 3: Cross multiply
    65,772x = 144,038.25 × 144,038.25
  4. Step 4: Simplify right side
    65,772x = 20,747,017,463.06
  5. Step 5: Solve for x
    x = 20,747,017,463.06/65,772
  6. Step 6: Final answer
    x = 315,438.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.