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Finding the Third Proportional to 53,364.75 and 83,710.13

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Solution

The third proportional to 53,364.75 and 83,710.13 is: 131,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,364.75 : 83,710.13 = 83,710.13 : x
  2. Step 2: Convert to fraction form
    53,364.75/83,710.13 = 83,710.13/x
  3. Step 3: Cross multiply
    53,364.75x = 83,710.13 × 83,710.13
  4. Step 4: Simplify right side
    53,364.75x = 7,007,385,027.52
  5. Step 5: Solve for x
    x = 7,007,385,027.52/53,364.75
  6. Step 6: Final answer
    x = 131,311.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.