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Finding the Third Proportional to 94,609 and 157,675.50

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Solution

The third proportional to 94,609 and 157,675.50 is: 262,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,609 : 157,675.50 = 157,675.50 : x
  2. Step 2: Convert to fraction form
    94,609/157,675.50 = 157,675.50/x
  3. Step 3: Cross multiply
    94,609x = 157,675.50 × 157,675.50
  4. Step 4: Simplify right side
    94,609x = 24,861,563,300.25
  5. Step 5: Solve for x
    x = 24,861,563,300.25/94,609
  6. Step 6: Final answer
    x = 262,782.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.