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Finding the Third Proportional to 89,206.50 and 130,460.50

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Solution

The third proportional to 89,206.50 and 130,460.50 is: 190,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,206.50 : 130,460.50 = 130,460.50 : x
  2. Step 2: Convert to fraction form
    89,206.50/130,460.50 = 130,460.50/x
  3. Step 3: Cross multiply
    89,206.50x = 130,460.50 × 130,460.50
  4. Step 4: Simplify right side
    89,206.50x = 17,019,942,060.25
  5. Step 5: Solve for x
    x = 17,019,942,060.25/89,206.50
  6. Step 6: Final answer
    x = 190,792.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.