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Finding the Third Proportional to 43,460 and 95,368

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Solution

The third proportional to 43,460 and 95,368 is: 209,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,460 : 95,368 = 95,368 : x
  2. Step 2: Convert to fraction form
    43,460/95,368 = 95,368/x
  3. Step 3: Cross multiply
    43,460x = 95,368 × 95,368
  4. Step 4: Simplify right side
    43,460x = 9,095,055,424
  5. Step 5: Solve for x
    x = 9,095,055,424/43,460
  6. Step 6: Final answer
    x = 209,274.17

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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.