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Finding the Third Proportional to 82,952 and 128,655

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Solution

The third proportional to 82,952 and 128,655 is: 199,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952 : 128,655 = 128,655 : x
  2. Step 2: Convert to fraction form
    82,952/128,655 = 128,655/x
  3. Step 3: Cross multiply
    82,952x = 128,655 × 128,655
  4. Step 4: Simplify right side
    82,952x = 16,552,109,025
  5. Step 5: Solve for x
    x = 16,552,109,025/82,952
  6. Step 6: Final answer
    x = 199,538.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.