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Finding the Third Proportional to 106,582 and 177,630

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Solution

The third proportional to 106,582 and 177,630 is: 296,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,582 : 177,630 = 177,630 : x
  2. Step 2: Convert to fraction form
    106,582/177,630 = 177,630/x
  3. Step 3: Cross multiply
    106,582x = 177,630 × 177,630
  4. Step 4: Simplify right side
    106,582x = 31,552,416,900
  5. Step 5: Solve for x
    x = 31,552,416,900/106,582
  6. Step 6: Final answer
    x = 296,038.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.