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Finding the Third Proportional to 40,972 and 88,172

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Solution

The third proportional to 40,972 and 88,172 is: 189,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,972 : 88,172 = 88,172 : x
  2. Step 2: Convert to fraction form
    40,972/88,172 = 88,172/x
  3. Step 3: Cross multiply
    40,972x = 88,172 × 88,172
  4. Step 4: Simplify right side
    40,972x = 7,774,301,584
  5. Step 5: Solve for x
    x = 7,774,301,584/40,972
  6. Step 6: Final answer
    x = 189,746.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.