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Finding the Third Proportional to 93,047 and 132,901

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Solution

The third proportional to 93,047 and 132,901 is: 189,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,047 : 132,901 = 132,901 : x
  2. Step 2: Convert to fraction form
    93,047/132,901 = 132,901/x
  3. Step 3: Cross multiply
    93,047x = 132,901 × 132,901
  4. Step 4: Simplify right side
    93,047x = 17,662,675,801
  5. Step 5: Solve for x
    x = 17,662,675,801/93,047
  6. Step 6: Final answer
    x = 189,825.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.