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Finding the Third Proportional to 75,208 and 112,827

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Solution

The third proportional to 75,208 and 112,827 is: 169,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,208 : 112,827 = 112,827 : x
  2. Step 2: Convert to fraction form
    75,208/112,827 = 112,827/x
  3. Step 3: Cross multiply
    75,208x = 112,827 × 112,827
  4. Step 4: Simplify right side
    75,208x = 12,729,931,929
  5. Step 5: Solve for x
    x = 12,729,931,929/75,208
  6. Step 6: Final answer
    x = 169,263.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.