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Finding the Third Proportional to 45,256 and 99,259

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Solution

The third proportional to 45,256 and 99,259 is: 217,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,256 : 99,259 = 99,259 : x
  2. Step 2: Convert to fraction form
    45,256/99,259 = 99,259/x
  3. Step 3: Cross multiply
    45,256x = 99,259 × 99,259
  4. Step 4: Simplify right side
    45,256x = 9,852,349,081
  5. Step 5: Solve for x
    x = 9,852,349,081/45,256
  6. Step 6: Final answer
    x = 217,702.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.