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Finding the Third Proportional to 60,361.50 and 90,222

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Solution

The third proportional to 60,361.50 and 90,222 is: 134,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,361.50 : 90,222 = 90,222 : x
  2. Step 2: Convert to fraction form
    60,361.50/90,222 = 90,222/x
  3. Step 3: Cross multiply
    60,361.50x = 90,222 × 90,222
  4. Step 4: Simplify right side
    60,361.50x = 8,140,009,284
  5. Step 5: Solve for x
    x = 8,140,009,284/60,361.50
  6. Step 6: Final answer
    x = 134,854.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.