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Finding the Third Proportional to 105,096 and 243,048

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Solution

The third proportional to 105,096 and 243,048 is: 562,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,096 : 243,048 = 243,048 : x
  2. Step 2: Convert to fraction form
    105,096/243,048 = 243,048/x
  3. Step 3: Cross multiply
    105,096x = 243,048 × 243,048
  4. Step 4: Simplify right side
    105,096x = 59,072,330,304
  5. Step 5: Solve for x
    x = 59,072,330,304/105,096
  6. Step 6: Final answer
    x = 562,079.72

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.