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Finding the Third Proportional to 66,077.81 and 106,395.38

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Solution

The third proportional to 66,077.81 and 106,395.38 is: 171,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,077.81 : 106,395.38 = 106,395.38 : x
  2. Step 2: Convert to fraction form
    66,077.81/106,395.38 = 106,395.38/x
  3. Step 3: Cross multiply
    66,077.81x = 106,395.38 × 106,395.38
  4. Step 4: Simplify right side
    66,077.81x = 11,319,975,821.39
  5. Step 5: Solve for x
    x = 11,319,975,821.39/66,077.81
  6. Step 6: Final answer
    x = 171,312.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.