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Finding the Third Proportional to 127,663.50 and 202,056

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Solution

The third proportional to 127,663.50 and 202,056 is: 319,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,663.50 : 202,056 = 202,056 : x
  2. Step 2: Convert to fraction form
    127,663.50/202,056 = 202,056/x
  3. Step 3: Cross multiply
    127,663.50x = 202,056 × 202,056
  4. Step 4: Simplify right side
    127,663.50x = 40,826,627,136
  5. Step 5: Solve for x
    x = 40,826,627,136/127,663.50
  6. Step 6: Final answer
    x = 319,798.75

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.