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Finding the Third Proportional to 77,046 and 118,377

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Solution

The third proportional to 77,046 and 118,377 is: 181,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,046 : 118,377 = 118,377 : x
  2. Step 2: Convert to fraction form
    77,046/118,377 = 118,377/x
  3. Step 3: Cross multiply
    77,046x = 118,377 × 118,377
  4. Step 4: Simplify right side
    77,046x = 14,013,114,129
  5. Step 5: Solve for x
    x = 14,013,114,129/77,046
  6. Step 6: Final answer
    x = 181,879.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.