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Finding the Third Proportional to 76,307 and 118,053

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Solution

The third proportional to 76,307 and 118,053 is: 182,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,307 : 118,053 = 118,053 : x
  2. Step 2: Convert to fraction form
    76,307/118,053 = 118,053/x
  3. Step 3: Cross multiply
    76,307x = 118,053 × 118,053
  4. Step 4: Simplify right side
    76,307x = 13,936,510,809
  5. Step 5: Solve for x
    x = 13,936,510,809/76,307
  6. Step 6: Final answer
    x = 182,637.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.