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Finding the Third Proportional to 45,200.53 and 68,210.86

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Solution

The third proportional to 45,200.53 and 68,210.86 is: 102,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,200.53 : 68,210.86 = 68,210.86 : x
  2. Step 2: Convert to fraction form
    45,200.53/68,210.86 = 68,210.86/x
  3. Step 3: Cross multiply
    45,200.53x = 68,210.86 × 68,210.86
  4. Step 4: Simplify right side
    45,200.53x = 4,652,721,336.68
  5. Step 5: Solve for x
    x = 4,652,721,336.68/45,200.53
  6. Step 6: Final answer
    x = 102,935.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.