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Finding the Third Proportional to 97,511.50 and 154,728.50

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Solution

The third proportional to 97,511.50 and 154,728.50 is: 245,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,511.50 : 154,728.50 = 154,728.50 : x
  2. Step 2: Convert to fraction form
    97,511.50/154,728.50 = 154,728.50/x
  3. Step 3: Cross multiply
    97,511.50x = 154,728.50 × 154,728.50
  4. Step 4: Simplify right side
    97,511.50x = 23,940,908,712.25
  5. Step 5: Solve for x
    x = 23,940,908,712.25/97,511.50
  6. Step 6: Final answer
    x = 245,518.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.