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Finding the Third Proportional to 49,220.16 and 76,360.22

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Solution

The third proportional to 49,220.16 and 76,360.22 is: 118,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,220.16 : 76,360.22 = 76,360.22 : x
  2. Step 2: Convert to fraction form
    49,220.16/76,360.22 = 76,360.22/x
  3. Step 3: Cross multiply
    49,220.16x = 76,360.22 × 76,360.22
  4. Step 4: Simplify right side
    49,220.16x = 5,830,883,007.55
  5. Step 5: Solve for x
    x = 5,830,883,007.55/49,220.16
  6. Step 6: Final answer
    x = 118,465.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.