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Finding the Third Proportional to 42,300 and 66,932.25

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Solution

The third proportional to 42,300 and 66,932.25 is: 105,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,300 : 66,932.25 = 66,932.25 : x
  2. Step 2: Convert to fraction form
    42,300/66,932.25 = 66,932.25/x
  3. Step 3: Cross multiply
    42,300x = 66,932.25 × 66,932.25
  4. Step 4: Simplify right side
    42,300x = 4,479,926,090.06
  5. Step 5: Solve for x
    x = 4,479,926,090.06/42,300
  6. Step 6: Final answer
    x = 105,908.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.