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Finding the Third Proportional to 112,905 and 169,366.50

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Solution

The third proportional to 112,905 and 169,366.50 is: 254,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,905 : 169,366.50 = 169,366.50 : x
  2. Step 2: Convert to fraction form
    112,905/169,366.50 = 169,366.50/x
  3. Step 3: Cross multiply
    112,905x = 169,366.50 × 169,366.50
  4. Step 4: Simplify right side
    112,905x = 28,685,011,322.25
  5. Step 5: Solve for x
    x = 28,685,011,322.25/112,905
  6. Step 6: Final answer
    x = 254,063.25

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