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Finding the Third Proportional to 127,042 and 174,363

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Solution

The third proportional to 127,042 and 174,363 is: 239,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,042 : 174,363 = 174,363 : x
  2. Step 2: Convert to fraction form
    127,042/174,363 = 174,363/x
  3. Step 3: Cross multiply
    127,042x = 174,363 × 174,363
  4. Step 4: Simplify right side
    127,042x = 30,402,455,769
  5. Step 5: Solve for x
    x = 30,402,455,769/127,042
  6. Step 6: Final answer
    x = 239,310.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.