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Finding the Third Proportional to 83,322 and 128,646

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Solution

The third proportional to 83,322 and 128,646 is: 198,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,322 : 128,646 = 128,646 : x
  2. Step 2: Convert to fraction form
    83,322/128,646 = 128,646/x
  3. Step 3: Cross multiply
    83,322x = 128,646 × 128,646
  4. Step 4: Simplify right side
    83,322x = 16,549,793,316
  5. Step 5: Solve for x
    x = 16,549,793,316/83,322
  6. Step 6: Final answer
    x = 198,624.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.