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Finding the Third Proportional to 39,313.50 and 85,539

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Solution

The third proportional to 39,313.50 and 85,539 is: 186,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,313.50 : 85,539 = 85,539 : x
  2. Step 2: Convert to fraction form
    39,313.50/85,539 = 85,539/x
  3. Step 3: Cross multiply
    39,313.50x = 85,539 × 85,539
  4. Step 4: Simplify right side
    39,313.50x = 7,316,920,521
  5. Step 5: Solve for x
    x = 7,316,920,521/39,313.50
  6. Step 6: Final answer
    x = 186,117.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.