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Finding the Third Proportional to 116,358 and 177,921

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Solution

The third proportional to 116,358 and 177,921 is: 272,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,358 : 177,921 = 177,921 : x
  2. Step 2: Convert to fraction form
    116,358/177,921 = 177,921/x
  3. Step 3: Cross multiply
    116,358x = 177,921 × 177,921
  4. Step 4: Simplify right side
    116,358x = 31,655,882,241
  5. Step 5: Solve for x
    x = 31,655,882,241/116,358
  6. Step 6: Final answer
    x = 272,055.92

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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.