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Finding the Third Proportional to 66,653.44 and 106,001.16

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Solution

The third proportional to 66,653.44 and 106,001.16 is: 168,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,653.44 : 106,001.16 = 106,001.16 : x
  2. Step 2: Convert to fraction form
    66,653.44/106,001.16 = 106,001.16/x
  3. Step 3: Cross multiply
    66,653.44x = 106,001.16 × 106,001.16
  4. Step 4: Simplify right side
    66,653.44x = 11,236,245,126.34
  5. Step 5: Solve for x
    x = 11,236,245,126.34/66,653.44
  6. Step 6: Final answer
    x = 168,577.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.