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Finding the Third Proportional to 94,527 and 146,361.94

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Solution

The third proportional to 94,527 and 146,361.94 is: 226,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,527 : 146,361.94 = 146,361.94 : x
  2. Step 2: Convert to fraction form
    94,527/146,361.94 = 146,361.94/x
  3. Step 3: Cross multiply
    94,527x = 146,361.94 × 146,361.94
  4. Step 4: Simplify right side
    94,527x = 21,421,816,748.75
  5. Step 5: Solve for x
    x = 21,421,816,748.75/94,527
  6. Step 6: Final answer
    x = 226,621.14

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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.