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Finding the Third Proportional to 65,890.13 and 141,075

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Solution

The third proportional to 65,890.13 and 141,075 is: 302,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,890.13 : 141,075 = 141,075 : x
  2. Step 2: Convert to fraction form
    65,890.13/141,075 = 141,075/x
  3. Step 3: Cross multiply
    65,890.13x = 141,075 × 141,075
  4. Step 4: Simplify right side
    65,890.13x = 19,902,155,625
  5. Step 5: Solve for x
    x = 19,902,155,625/65,890.13
  6. Step 6: Final answer
    x = 302,050.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.