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Finding the Third Proportional to 120,582 and 177,264

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Solution

The third proportional to 120,582 and 177,264 is: 260,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,582 : 177,264 = 177,264 : x
  2. Step 2: Convert to fraction form
    120,582/177,264 = 177,264/x
  3. Step 3: Cross multiply
    120,582x = 177,264 × 177,264
  4. Step 4: Simplify right side
    120,582x = 31,422,525,696
  5. Step 5: Solve for x
    x = 31,422,525,696/120,582
  6. Step 6: Final answer
    x = 260,590.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.