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Finding the Third Proportional to 42,039 and 93,403.13

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Solution

The third proportional to 42,039 and 93,403.13 is: 207,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,039 : 93,403.13 = 93,403.13 : x
  2. Step 2: Convert to fraction form
    42,039/93,403.13 = 93,403.13/x
  3. Step 3: Cross multiply
    42,039x = 93,403.13 × 93,403.13
  4. Step 4: Simplify right side
    42,039x = 8,724,143,759.77
  5. Step 5: Solve for x
    x = 8,724,143,759.77/42,039
  6. Step 6: Final answer
    x = 207,525.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.