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Finding the Third Proportional to 127,342 and 163,905

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Solution

The third proportional to 127,342 and 163,905 is: 210,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,342 : 163,905 = 163,905 : x
  2. Step 2: Convert to fraction form
    127,342/163,905 = 163,905/x
  3. Step 3: Cross multiply
    127,342x = 163,905 × 163,905
  4. Step 4: Simplify right side
    127,342x = 26,864,849,025
  5. Step 5: Solve for x
    x = 26,864,849,025/127,342
  6. Step 6: Final answer
    x = 210,966.13

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.