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Finding the Third Proportional to 53,862.75 and 110,398.50

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Solution

The third proportional to 53,862.75 and 110,398.50 is: 226,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,862.75 : 110,398.50 = 110,398.50 : x
  2. Step 2: Convert to fraction form
    53,862.75/110,398.50 = 110,398.50/x
  3. Step 3: Cross multiply
    53,862.75x = 110,398.50 × 110,398.50
  4. Step 4: Simplify right side
    53,862.75x = 12,187,828,802.25
  5. Step 5: Solve for x
    x = 12,187,828,802.25/53,862.75
  6. Step 6: Final answer
    x = 226,275.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.