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Finding the Third Proportional to 61,180.50 and 90,633

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Solution

The third proportional to 61,180.50 and 90,633 is: 134,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,180.50 : 90,633 = 90,633 : x
  2. Step 2: Convert to fraction form
    61,180.50/90,633 = 90,633/x
  3. Step 3: Cross multiply
    61,180.50x = 90,633 × 90,633
  4. Step 4: Simplify right side
    61,180.50x = 8,214,340,689
  5. Step 5: Solve for x
    x = 8,214,340,689/61,180.50
  6. Step 6: Final answer
    x = 134,264.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.