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Finding the Third Proportional to 121,602.09 and 194,258.25

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Solution

The third proportional to 121,602.09 and 194,258.25 is: 310,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,602.09 : 194,258.25 = 194,258.25 : x
  2. Step 2: Convert to fraction form
    121,602.09/194,258.25 = 194,258.25/x
  3. Step 3: Cross multiply
    121,602.09x = 194,258.25 × 194,258.25
  4. Step 4: Simplify right side
    121,602.09x = 37,736,267,693.06
  5. Step 5: Solve for x
    x = 37,736,267,693.06/121,602.09
  6. Step 6: Final answer
    x = 310,325.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.