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Finding the Third Proportional to 66,534.75 and 102,556.13

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Solution

The third proportional to 66,534.75 and 102,556.13 is: 158,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,534.75 : 102,556.13 = 102,556.13 : x
  2. Step 2: Convert to fraction form
    66,534.75/102,556.13 = 102,556.13/x
  3. Step 3: Cross multiply
    66,534.75x = 102,556.13 × 102,556.13
  4. Step 4: Simplify right side
    66,534.75x = 10,517,758,775.02
  5. Step 5: Solve for x
    x = 10,517,758,775.02/66,534.75
  6. Step 6: Final answer
    x = 158,079.18

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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.