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Finding the Third Proportional to 121,106.81 and 180,275.63

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Solution

The third proportional to 121,106.81 and 180,275.63 is: 268,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,106.81 : 180,275.63 = 180,275.63 : x
  2. Step 2: Convert to fraction form
    121,106.81/180,275.63 = 180,275.63/x
  3. Step 3: Cross multiply
    121,106.81x = 180,275.63 × 180,275.63
  4. Step 4: Simplify right side
    121,106.81x = 32,499,300,969.14
  5. Step 5: Solve for x
    x = 32,499,300,969.14/121,106.81
  6. Step 6: Final answer
    x = 268,352.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.