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Finding the Third Proportional to 66,964.50 and 101,310

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Solution

The third proportional to 66,964.50 and 101,310 is: 153,271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,964.50 : 101,310 = 101,310 : x
  2. Step 2: Convert to fraction form
    66,964.50/101,310 = 101,310/x
  3. Step 3: Cross multiply
    66,964.50x = 101,310 × 101,310
  4. Step 4: Simplify right side
    66,964.50x = 10,263,716,100
  5. Step 5: Solve for x
    x = 10,263,716,100/66,964.50
  6. Step 6: Final answer
    x = 153,271.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.