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Finding the Third Proportional to 127,332 and 196,534

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Solution

The third proportional to 127,332 and 196,534 is: 303,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,332 : 196,534 = 196,534 : x
  2. Step 2: Convert to fraction form
    127,332/196,534 = 196,534/x
  3. Step 3: Cross multiply
    127,332x = 196,534 × 196,534
  4. Step 4: Simplify right side
    127,332x = 38,625,613,156
  5. Step 5: Solve for x
    x = 38,625,613,156/127,332
  6. Step 6: Final answer
    x = 303,345.69

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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.