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Finding the Third Proportional to 94,476 and 144,690

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Solution

The third proportional to 94,476 and 144,690 is: 221,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,476 : 144,690 = 144,690 : x
  2. Step 2: Convert to fraction form
    94,476/144,690 = 144,690/x
  3. Step 3: Cross multiply
    94,476x = 144,690 × 144,690
  4. Step 4: Simplify right side
    94,476x = 20,935,196,100
  5. Step 5: Solve for x
    x = 20,935,196,100/94,476
  6. Step 6: Final answer
    x = 221,592.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.