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Finding the Third Proportional to 65,458.13 and 100,090.37

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Solution

The third proportional to 65,458.13 and 100,090.37 is: 153,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.13 : 100,090.37 = 100,090.37 : x
  2. Step 2: Convert to fraction form
    65,458.13/100,090.37 = 100,090.37/x
  3. Step 3: Cross multiply
    65,458.13x = 100,090.37 × 100,090.37
  4. Step 4: Simplify right side
    65,458.13x = 10,018,082,385.68
  5. Step 5: Solve for x
    x = 10,018,082,385.68/65,458.13
  6. Step 6: Final answer
    x = 153,045.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.