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Finding the Third Proportional to 66,077.50 and 106,395

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Solution

The third proportional to 66,077.50 and 106,395 is: 171,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,077.50 : 106,395 = 106,395 : x
  2. Step 2: Convert to fraction form
    66,077.50/106,395 = 106,395/x
  3. Step 3: Cross multiply
    66,077.50x = 106,395 × 106,395
  4. Step 4: Simplify right side
    66,077.50x = 11,319,896,025
  5. Step 5: Solve for x
    x = 11,319,896,025/66,077.50
  6. Step 6: Final answer
    x = 171,312.41

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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.