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Finding the Third Proportional to 94,461 and 146,237

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Solution

The third proportional to 94,461 and 146,237 is: 226,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,461 : 146,237 = 146,237 : x
  2. Step 2: Convert to fraction form
    94,461/146,237 = 146,237/x
  3. Step 3: Cross multiply
    94,461x = 146,237 × 146,237
  4. Step 4: Simplify right side
    94,461x = 21,385,260,169
  5. Step 5: Solve for x
    x = 21,385,260,169/94,461
  6. Step 6: Final answer
    x = 226,392.48

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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.