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Finding the Third Proportional to 107,604 and 157,950

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Solution

The third proportional to 107,604 and 157,950 is: 231,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,604 : 157,950 = 157,950 : x
  2. Step 2: Convert to fraction form
    107,604/157,950 = 157,950/x
  3. Step 3: Cross multiply
    107,604x = 157,950 × 157,950
  4. Step 4: Simplify right side
    107,604x = 24,948,202,500
  5. Step 5: Solve for x
    x = 24,948,202,500/107,604
  6. Step 6: Final answer
    x = 231,852.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.