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Finding the Third Proportional to 118,394 and 177,143

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Solution

The third proportional to 118,394 and 177,143 is: 265,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,394 : 177,143 = 177,143 : x
  2. Step 2: Convert to fraction form
    118,394/177,143 = 177,143/x
  3. Step 3: Cross multiply
    118,394x = 177,143 × 177,143
  4. Step 4: Simplify right side
    118,394x = 31,379,642,449
  5. Step 5: Solve for x
    x = 31,379,642,449/118,394
  6. Step 6: Final answer
    x = 265,044.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.