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Finding the Third Proportional to 127,827 and 187,798.50

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Solution

The third proportional to 127,827 and 187,798.50 is: 275,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,827 : 187,798.50 = 187,798.50 : x
  2. Step 2: Convert to fraction form
    127,827/187,798.50 = 187,798.50/x
  3. Step 3: Cross multiply
    127,827x = 187,798.50 × 187,798.50
  4. Step 4: Simplify right side
    127,827x = 35,268,276,602.25
  5. Step 5: Solve for x
    x = 35,268,276,602.25/127,827
  6. Step 6: Final answer
    x = 275,906.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.