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Finding the Third Proportional to 35,164.13 and 76,927.50

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Solution

The third proportional to 35,164.13 and 76,927.50 is: 168,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,164.13 : 76,927.50 = 76,927.50 : x
  2. Step 2: Convert to fraction form
    35,164.13/76,927.50 = 76,927.50/x
  3. Step 3: Cross multiply
    35,164.13x = 76,927.50 × 76,927.50
  4. Step 4: Simplify right side
    35,164.13x = 5,917,840,256.25
  5. Step 5: Solve for x
    x = 5,917,840,256.25/35,164.13
  6. Step 6: Final answer
    x = 168,291.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.