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Finding the Third Proportional to 121,196.25 and 163,034.02

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Solution

The third proportional to 121,196.25 and 163,034.02 is: 219,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,196.25 : 163,034.02 = 163,034.02 : x
  2. Step 2: Convert to fraction form
    121,196.25/163,034.02 = 163,034.02/x
  3. Step 3: Cross multiply
    121,196.25x = 163,034.02 × 163,034.02
  4. Step 4: Simplify right side
    121,196.25x = 26,580,090,250.81
  5. Step 5: Solve for x
    x = 26,580,090,250.81/121,196.25
  6. Step 6: Final answer
    x = 219,314.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.