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Finding the Third Proportional to 77,877 and 118,354

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Solution

The third proportional to 77,877 and 118,354 is: 179,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,877 : 118,354 = 118,354 : x
  2. Step 2: Convert to fraction form
    77,877/118,354 = 118,354/x
  3. Step 3: Cross multiply
    77,877x = 118,354 × 118,354
  4. Step 4: Simplify right side
    77,877x = 14,007,669,316
  5. Step 5: Solve for x
    x = 14,007,669,316/77,877
  6. Step 6: Final answer
    x = 179,869.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.