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Finding the Third Proportional to 112,981.50 and 169,087.50

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Solution

The third proportional to 112,981.50 and 169,087.50 is: 253,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,981.50 : 169,087.50 = 169,087.50 : x
  2. Step 2: Convert to fraction form
    112,981.50/169,087.50 = 169,087.50/x
  3. Step 3: Cross multiply
    112,981.50x = 169,087.50 × 169,087.50
  4. Step 4: Simplify right side
    112,981.50x = 28,590,582,656.25
  5. Step 5: Solve for x
    x = 28,590,582,656.25/112,981.50
  6. Step 6: Final answer
    x = 253,055.44

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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.