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Finding the Third Proportional to 66,440.80 and 102,598.92

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Solution

The third proportional to 66,440.80 and 102,598.92 is: 158,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,440.80 : 102,598.92 = 102,598.92 : x
  2. Step 2: Convert to fraction form
    66,440.80/102,598.92 = 102,598.92/x
  3. Step 3: Cross multiply
    66,440.80x = 102,598.92 × 102,598.92
  4. Step 4: Simplify right side
    66,440.80x = 10,526,538,168.75
  5. Step 5: Solve for x
    x = 10,526,538,168.75/66,440.80
  6. Step 6: Final answer
    x = 158,434.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.