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Finding the Third Proportional to 65,749 and 144,012.50

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Solution

The third proportional to 65,749 and 144,012.50 is: 315,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,749 : 144,012.50 = 144,012.50 : x
  2. Step 2: Convert to fraction form
    65,749/144,012.50 = 144,012.50/x
  3. Step 3: Cross multiply
    65,749x = 144,012.50 × 144,012.50
  4. Step 4: Simplify right side
    65,749x = 20,739,600,156.25
  5. Step 5: Solve for x
    x = 20,739,600,156.25/65,749
  6. Step 6: Final answer
    x = 315,435.98

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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.