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Finding the Third Proportional to 87,534 and 128,196

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Solution

The third proportional to 87,534 and 128,196 is: 187,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,534 : 128,196 = 128,196 : x
  2. Step 2: Convert to fraction form
    87,534/128,196 = 128,196/x
  3. Step 3: Cross multiply
    87,534x = 128,196 × 128,196
  4. Step 4: Simplify right side
    87,534x = 16,434,214,416
  5. Step 5: Solve for x
    x = 16,434,214,416/87,534
  6. Step 6: Final answer
    x = 187,746.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.