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Finding the Third Proportional to 127,724 and 193,355

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Solution

The third proportional to 127,724 and 193,355 is: 292,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,724 : 193,355 = 193,355 : x
  2. Step 2: Convert to fraction form
    127,724/193,355 = 193,355/x
  3. Step 3: Cross multiply
    127,724x = 193,355 × 193,355
  4. Step 4: Simplify right side
    127,724x = 37,386,156,025
  5. Step 5: Solve for x
    x = 37,386,156,025/127,724
  6. Step 6: Final answer
    x = 292,710.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.