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Finding the Third Proportional to 65,368.50 and 141,105

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Solution

The third proportional to 65,368.50 and 141,105 is: 304,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,368.50 : 141,105 = 141,105 : x
  2. Step 2: Convert to fraction form
    65,368.50/141,105 = 141,105/x
  3. Step 3: Cross multiply
    65,368.50x = 141,105 × 141,105
  4. Step 4: Simplify right side
    65,368.50x = 19,910,621,025
  5. Step 5: Solve for x
    x = 19,910,621,025/65,368.50
  6. Step 6: Final answer
    x = 304,590.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.