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Finding the Third Proportional to 94,464 and 147,435

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Solution

The third proportional to 94,464 and 147,435 is: 230,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,464 : 147,435 = 147,435 : x
  2. Step 2: Convert to fraction form
    94,464/147,435 = 147,435/x
  3. Step 3: Cross multiply
    94,464x = 147,435 × 147,435
  4. Step 4: Simplify right side
    94,464x = 21,737,079,225
  5. Step 5: Solve for x
    x = 21,737,079,225/94,464
  6. Step 6: Final answer
    x = 230,109.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.