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Finding the Third Proportional to 84,392 and 130,844

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Solution

The third proportional to 84,392 and 130,844 is: 202,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,392 : 130,844 = 130,844 : x
  2. Step 2: Convert to fraction form
    84,392/130,844 = 130,844/x
  3. Step 3: Cross multiply
    84,392x = 130,844 × 130,844
  4. Step 4: Simplify right side
    84,392x = 17,120,152,336
  5. Step 5: Solve for x
    x = 17,120,152,336/84,392
  6. Step 6: Final answer
    x = 202,864.64

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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.