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Finding the Third Proportional to 82,332 and 125,276

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Solution

The third proportional to 82,332 and 125,276 is: 190,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,332 : 125,276 = 125,276 : x
  2. Step 2: Convert to fraction form
    82,332/125,276 = 125,276/x
  3. Step 3: Cross multiply
    82,332x = 125,276 × 125,276
  4. Step 4: Simplify right side
    82,332x = 15,694,076,176
  5. Step 5: Solve for x
    x = 15,694,076,176/82,332
  6. Step 6: Final answer
    x = 190,619.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.