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Finding the Third Proportional to 118,213 and 180,854

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Solution

The third proportional to 118,213 and 180,854 is: 276,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,213 : 180,854 = 180,854 : x
  2. Step 2: Convert to fraction form
    118,213/180,854 = 180,854/x
  3. Step 3: Cross multiply
    118,213x = 180,854 × 180,854
  4. Step 4: Simplify right side
    118,213x = 32,708,169,316
  5. Step 5: Solve for x
    x = 32,708,169,316/118,213
  6. Step 6: Final answer
    x = 276,688.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.