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Finding the Third Proportional to 62,448.50 and 95,237

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Solution

The third proportional to 62,448.50 and 95,237 is: 145,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,448.50 : 95,237 = 95,237 : x
  2. Step 2: Convert to fraction form
    62,448.50/95,237 = 95,237/x
  3. Step 3: Cross multiply
    62,448.50x = 95,237 × 95,237
  4. Step 4: Simplify right side
    62,448.50x = 9,070,086,169
  5. Step 5: Solve for x
    x = 9,070,086,169/62,448.50
  6. Step 6: Final answer
    x = 145,241.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.