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Finding the Third Proportional to 53,359.13 and 77,284.13

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Solution

The third proportional to 53,359.13 and 77,284.13 is: 111,936.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,359.13 : 77,284.13 = 77,284.13 : x
  2. Step 2: Convert to fraction form
    53,359.13/77,284.13 = 77,284.13/x
  3. Step 3: Cross multiply
    53,359.13x = 77,284.13 × 77,284.13
  4. Step 4: Simplify right side
    53,359.13x = 5,972,835,977.02
  5. Step 5: Solve for x
    x = 5,972,835,977.02/53,359.13
  6. Step 6: Final answer
    x = 111,936.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.