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Finding the Third Proportional to 127,732.50 and 193,365

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Solution

The third proportional to 127,732.50 and 193,365 is: 292,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,732.50 : 193,365 = 193,365 : x
  2. Step 2: Convert to fraction form
    127,732.50/193,365 = 193,365/x
  3. Step 3: Cross multiply
    127,732.50x = 193,365 × 193,365
  4. Step 4: Simplify right side
    127,732.50x = 37,390,023,225
  5. Step 5: Solve for x
    x = 37,390,023,225/127,732.50
  6. Step 6: Final answer
    x = 292,721.30

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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.