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Finding the Third Proportional to 45,411.75 and 105,527.25

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Solution

The third proportional to 45,411.75 and 105,527.25 is: 245,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,411.75 : 105,527.25 = 105,527.25 : x
  2. Step 2: Convert to fraction form
    45,411.75/105,527.25 = 105,527.25/x
  3. Step 3: Cross multiply
    45,411.75x = 105,527.25 × 105,527.25
  4. Step 4: Simplify right side
    45,411.75x = 11,136,000,492.56
  5. Step 5: Solve for x
    x = 11,136,000,492.56/45,411.75
  6. Step 6: Final answer
    x = 245,222.89

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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.