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Finding the Third Proportional to 62,491 and 132,430.50

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Solution

The third proportional to 62,491 and 132,430.50 is: 280,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,491 : 132,430.50 = 132,430.50 : x
  2. Step 2: Convert to fraction form
    62,491/132,430.50 = 132,430.50/x
  3. Step 3: Cross multiply
    62,491x = 132,430.50 × 132,430.50
  4. Step 4: Simplify right side
    62,491x = 17,537,837,330.25
  5. Step 5: Solve for x
    x = 17,537,837,330.25/62,491
  6. Step 6: Final answer
    x = 280,645.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.