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Finding the Third Proportional to 53,371.50 and 115,509.50

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Solution

The third proportional to 53,371.50 and 115,509.50 is: 249,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,371.50 : 115,509.50 = 115,509.50 : x
  2. Step 2: Convert to fraction form
    53,371.50/115,509.50 = 115,509.50/x
  3. Step 3: Cross multiply
    53,371.50x = 115,509.50 × 115,509.50
  4. Step 4: Simplify right side
    53,371.50x = 13,342,444,590.25
  5. Step 5: Solve for x
    x = 13,342,444,590.25/53,371.50
  6. Step 6: Final answer
    x = 249,991.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.