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Finding the Third Proportional to 121,114.13 and 248,272.31

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Solution

The third proportional to 121,114.13 and 248,272.31 is: 508,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,114.13 : 248,272.31 = 248,272.31 : x
  2. Step 2: Convert to fraction form
    121,114.13/248,272.31 = 248,272.31/x
  3. Step 3: Cross multiply
    121,114.13x = 248,272.31 × 248,272.31
  4. Step 4: Simplify right side
    121,114.13x = 61,639,141,154.10
  5. Step 5: Solve for x
    x = 61,639,141,154.10/121,114.13
  6. Step 6: Final answer
    x = 508,934.37

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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.