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Finding the Third Proportional to 66,892.50 and 147,740.06

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Solution

The third proportional to 66,892.50 and 147,740.06 is: 326,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,892.50 : 147,740.06 = 147,740.06 : x
  2. Step 2: Convert to fraction form
    66,892.50/147,740.06 = 147,740.06/x
  3. Step 3: Cross multiply
    66,892.50x = 147,740.06 × 147,740.06
  4. Step 4: Simplify right side
    66,892.50x = 21,827,126,067.50
  5. Step 5: Solve for x
    x = 21,827,126,067.50/66,892.50
  6. Step 6: Final answer
    x = 326,301.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.