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Finding the Third Proportional to 53,613 and 81,571.50

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Solution

The third proportional to 53,613 and 81,571.50 is: 124,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,613 : 81,571.50 = 81,571.50 : x
  2. Step 2: Convert to fraction form
    53,613/81,571.50 = 81,571.50/x
  3. Step 3: Cross multiply
    53,613x = 81,571.50 × 81,571.50
  4. Step 4: Simplify right side
    53,613x = 6,653,909,612.25
  5. Step 5: Solve for x
    x = 6,653,909,612.25/53,613
  6. Step 6: Final answer
    x = 124,110.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.