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Finding the Third Proportional to 65,630.50 and 143,140

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Solution

The third proportional to 65,630.50 and 143,140 is: 312,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,630.50 : 143,140 = 143,140 : x
  2. Step 2: Convert to fraction form
    65,630.50/143,140 = 143,140/x
  3. Step 3: Cross multiply
    65,630.50x = 143,140 × 143,140
  4. Step 4: Simplify right side
    65,630.50x = 20,489,059,600
  5. Step 5: Solve for x
    x = 20,489,059,600/65,630.50
  6. Step 6: Final answer
    x = 312,188.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.