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Finding the Third Proportional to 65,344.25 and 141,752.50

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Solution

The third proportional to 65,344.25 and 141,752.50 is: 307,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,344.25 : 141,752.50 = 141,752.50 : x
  2. Step 2: Convert to fraction form
    65,344.25/141,752.50 = 141,752.50/x
  3. Step 3: Cross multiply
    65,344.25x = 141,752.50 × 141,752.50
  4. Step 4: Simplify right side
    65,344.25x = 20,093,771,256.25
  5. Step 5: Solve for x
    x = 20,093,771,256.25/65,344.25
  6. Step 6: Final answer
    x = 307,506.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.