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Finding the Third Proportional to 42,207.75 and 61,683.75

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Solution

The third proportional to 42,207.75 and 61,683.75 is: 90,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,207.75 : 61,683.75 = 61,683.75 : x
  2. Step 2: Convert to fraction form
    42,207.75/61,683.75 = 61,683.75/x
  3. Step 3: Cross multiply
    42,207.75x = 61,683.75 × 61,683.75
  4. Step 4: Simplify right side
    42,207.75x = 3,804,885,014.06
  5. Step 5: Solve for x
    x = 3,804,885,014.06/42,207.75
  6. Step 6: Final answer
    x = 90,146.60

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.