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Finding the Third Proportional to 127,798.50 and 193,488

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Solution

The third proportional to 127,798.50 and 193,488 is: 292,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,798.50 : 193,488 = 193,488 : x
  2. Step 2: Convert to fraction form
    127,798.50/193,488 = 193,488/x
  3. Step 3: Cross multiply
    127,798.50x = 193,488 × 193,488
  4. Step 4: Simplify right side
    127,798.50x = 37,437,606,144
  5. Step 5: Solve for x
    x = 37,437,606,144/127,798.50
  6. Step 6: Final answer
    x = 292,942.45

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