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Finding the Third Proportional to 104,076 and 132,117

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Solution

The third proportional to 104,076 and 132,117 is: 167,713.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,076 : 132,117 = 132,117 : x
  2. Step 2: Convert to fraction form
    104,076/132,117 = 132,117/x
  3. Step 3: Cross multiply
    104,076x = 132,117 × 132,117
  4. Step 4: Simplify right side
    104,076x = 17,454,901,689
  5. Step 5: Solve for x
    x = 17,454,901,689/104,076
  6. Step 6: Final answer
    x = 167,713.03

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.