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Finding the Third Proportional to 53,709.33 and 117,048.16

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Solution

The third proportional to 53,709.33 and 117,048.16 is: 255,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,709.33 : 117,048.16 = 117,048.16 : x
  2. Step 2: Convert to fraction form
    53,709.33/117,048.16 = 117,048.16/x
  3. Step 3: Cross multiply
    53,709.33x = 117,048.16 × 117,048.16
  4. Step 4: Simplify right side
    53,709.33x = 13,700,272,710.40
  5. Step 5: Solve for x
    x = 13,700,272,710.40/53,709.33
  6. Step 6: Final answer
    x = 255,081.81

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Why These Related Problems?

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