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Finding the Third Proportional to 66,054 and 99,094.50

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Solution

The third proportional to 66,054 and 99,094.50 is: 148,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,054 : 99,094.50 = 99,094.50 : x
  2. Step 2: Convert to fraction form
    66,054/99,094.50 = 99,094.50/x
  3. Step 3: Cross multiply
    66,054x = 99,094.50 × 99,094.50
  4. Step 4: Simplify right side
    66,054x = 9,819,719,930.25
  5. Step 5: Solve for x
    x = 9,819,719,930.25/66,054
  6. Step 6: Final answer
    x = 148,662.00

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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.