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Finding the Third Proportional to 90,141 and 130,563.50

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Solution

The third proportional to 90,141 and 130,563.50 is: 189,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,141 : 130,563.50 = 130,563.50 : x
  2. Step 2: Convert to fraction form
    90,141/130,563.50 = 130,563.50/x
  3. Step 3: Cross multiply
    90,141x = 130,563.50 × 130,563.50
  4. Step 4: Simplify right side
    90,141x = 17,046,827,532.25
  5. Step 5: Solve for x
    x = 17,046,827,532.25/90,141
  6. Step 6: Final answer
    x = 189,112.92

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.