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Finding the Third Proportional to 127,151 and 155,582

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Solution

The third proportional to 127,151 and 155,582 is: 190,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,151 : 155,582 = 155,582 : x
  2. Step 2: Convert to fraction form
    127,151/155,582 = 155,582/x
  3. Step 3: Cross multiply
    127,151x = 155,582 × 155,582
  4. Step 4: Simplify right side
    127,151x = 24,205,758,724
  5. Step 5: Solve for x
    x = 24,205,758,724/127,151
  6. Step 6: Final answer
    x = 190,370.18

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.