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Finding the Third Proportional to 74,768.06 and 161,276.06

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Solution

The third proportional to 74,768.06 and 161,276.06 is: 347,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,768.06 : 161,276.06 = 161,276.06 : x
  2. Step 2: Convert to fraction form
    74,768.06/161,276.06 = 161,276.06/x
  3. Step 3: Cross multiply
    74,768.06x = 161,276.06 × 161,276.06
  4. Step 4: Simplify right side
    74,768.06x = 26,009,968,335.50
  5. Step 5: Solve for x
    x = 26,009,968,335.50/74,768.06
  6. Step 6: Final answer
    x = 347,875.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.