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Finding the Third Proportional to 45,356 and 105,440

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Solution

The third proportional to 45,356 and 105,440 is: 245,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,356 : 105,440 = 105,440 : x
  2. Step 2: Convert to fraction form
    45,356/105,440 = 105,440/x
  3. Step 3: Cross multiply
    45,356x = 105,440 × 105,440
  4. Step 4: Simplify right side
    45,356x = 11,117,593,600
  5. Step 5: Solve for x
    x = 11,117,593,600/45,356
  6. Step 6: Final answer
    x = 245,118.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.