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Finding the Third Proportional to 66,374 and 105,152

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Solution

The third proportional to 66,374 and 105,152 is: 166,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,374 : 105,152 = 105,152 : x
  2. Step 2: Convert to fraction form
    66,374/105,152 = 105,152/x
  3. Step 3: Cross multiply
    66,374x = 105,152 × 105,152
  4. Step 4: Simplify right side
    66,374x = 11,056,943,104
  5. Step 5: Solve for x
    x = 11,056,943,104/66,374
  6. Step 6: Final answer
    x = 166,585.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.