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Finding the Third Proportional to 97,045.75 and 154,316.75

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Solution

The third proportional to 97,045.75 and 154,316.75 is: 245,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,045.75 : 154,316.75 = 154,316.75 : x
  2. Step 2: Convert to fraction form
    97,045.75/154,316.75 = 154,316.75/x
  3. Step 3: Cross multiply
    97,045.75x = 154,316.75 × 154,316.75
  4. Step 4: Simplify right side
    97,045.75x = 23,813,659,330.56
  5. Step 5: Solve for x
    x = 23,813,659,330.56/97,045.75
  6. Step 6: Final answer
    x = 245,385.91

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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.