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Finding the Third Proportional to 127,348 and 172,338

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Solution

The third proportional to 127,348 and 172,338 is: 233,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,348 : 172,338 = 172,338 : x
  2. Step 2: Convert to fraction form
    127,348/172,338 = 172,338/x
  3. Step 3: Cross multiply
    127,348x = 172,338 × 172,338
  4. Step 4: Simplify right side
    127,348x = 29,700,386,244
  5. Step 5: Solve for x
    x = 29,700,386,244/127,348
  6. Step 6: Final answer
    x = 233,222.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.