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Finding the Third Proportional to 82,528 and 127,224

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Solution

The third proportional to 82,528 and 127,224 is: 196,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,528 : 127,224 = 127,224 : x
  2. Step 2: Convert to fraction form
    82,528/127,224 = 127,224/x
  3. Step 3: Cross multiply
    82,528x = 127,224 × 127,224
  4. Step 4: Simplify right side
    82,528x = 16,185,946,176
  5. Step 5: Solve for x
    x = 16,185,946,176/82,528
  6. Step 6: Final answer
    x = 196,126.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.