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Finding the Third Proportional to 116,373.38 and 177,941.63

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Solution

The third proportional to 116,373.38 and 177,941.63 is: 272,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,373.38 : 177,941.63 = 177,941.63 : x
  2. Step 2: Convert to fraction form
    116,373.38/177,941.63 = 177,941.63/x
  3. Step 3: Cross multiply
    116,373.38x = 177,941.63 × 177,941.63
  4. Step 4: Simplify right side
    116,373.38x = 31,663,221,907.64
  5. Step 5: Solve for x
    x = 31,663,221,907.64/116,373.38
  6. Step 6: Final answer
    x = 272,083.04

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Why These Related Problems?

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