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Finding the Third Proportional to 107,201 and 157,590

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Solution

The third proportional to 107,201 and 157,590 is: 231,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,201 : 157,590 = 157,590 : x
  2. Step 2: Convert to fraction form
    107,201/157,590 = 157,590/x
  3. Step 3: Cross multiply
    107,201x = 157,590 × 157,590
  4. Step 4: Simplify right side
    107,201x = 24,834,608,100
  5. Step 5: Solve for x
    x = 24,834,608,100/107,201
  6. Step 6: Final answer
    x = 231,663.96

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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.