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Finding the Third Proportional to 63,232 and 132,271

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Solution

The third proportional to 63,232 and 132,271 is: 276,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,232 : 132,271 = 132,271 : x
  2. Step 2: Convert to fraction form
    63,232/132,271 = 132,271/x
  3. Step 3: Cross multiply
    63,232x = 132,271 × 132,271
  4. Step 4: Simplify right side
    63,232x = 17,495,617,441
  5. Step 5: Solve for x
    x = 17,495,617,441/63,232
  6. Step 6: Final answer
    x = 276,689.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.