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Finding the Third Proportional to 94,946 and 147,604

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Solution

The third proportional to 94,946 and 147,604 is: 229,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,946 : 147,604 = 147,604 : x
  2. Step 2: Convert to fraction form
    94,946/147,604 = 147,604/x
  3. Step 3: Cross multiply
    94,946x = 147,604 × 147,604
  4. Step 4: Simplify right side
    94,946x = 21,786,940,816
  5. Step 5: Solve for x
    x = 21,786,940,816/94,946
  6. Step 6: Final answer
    x = 229,466.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.