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Finding the Third Proportional to 64,944 and 98,118

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Solution

The third proportional to 64,944 and 98,118 is: 148,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,944 : 98,118 = 98,118 : x
  2. Step 2: Convert to fraction form
    64,944/98,118 = 98,118/x
  3. Step 3: Cross multiply
    64,944x = 98,118 × 98,118
  4. Step 4: Simplify right side
    64,944x = 9,627,141,924
  5. Step 5: Solve for x
    x = 9,627,141,924/64,944
  6. Step 6: Final answer
    x = 148,237.59

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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.