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Finding the Third Proportional to 121,185 and 261,729

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Solution

The third proportional to 121,185 and 261,729 is: 565,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,185 : 261,729 = 261,729 : x
  2. Step 2: Convert to fraction form
    121,185/261,729 = 261,729/x
  3. Step 3: Cross multiply
    121,185x = 261,729 × 261,729
  4. Step 4: Simplify right side
    121,185x = 68,502,069,441
  5. Step 5: Solve for x
    x = 68,502,069,441/121,185
  6. Step 6: Final answer
    x = 565,268.55

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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.