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Finding the Third Proportional to 107,212.50 and 157,237.88

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Solution

The third proportional to 107,212.50 and 157,237.88 is: 230,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,212.50 : 157,237.88 = 157,237.88 : x
  2. Step 2: Convert to fraction form
    107,212.50/157,237.88 = 157,237.88/x
  3. Step 3: Cross multiply
    107,212.50x = 157,237.88 × 157,237.88
  4. Step 4: Simplify right side
    107,212.50x = 24,723,749,334.52
  5. Step 5: Solve for x
    x = 24,723,749,334.52/107,212.50
  6. Step 6: Final answer
    x = 230,605.10

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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.