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Finding the Third Proportional to 121,365 and 182,046

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Solution

The third proportional to 121,365 and 182,046 is: 273,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,365 : 182,046 = 182,046 : x
  2. Step 2: Convert to fraction form
    121,365/182,046 = 182,046/x
  3. Step 3: Cross multiply
    121,365x = 182,046 × 182,046
  4. Step 4: Simplify right side
    121,365x = 33,140,746,116
  5. Step 5: Solve for x
    x = 33,140,746,116/121,365
  6. Step 6: Final answer
    x = 273,066.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.