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Finding the Third Proportional to 64,842.75 and 96,852.38

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Solution

The third proportional to 64,842.75 and 96,852.38 is: 144,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,842.75 : 96,852.38 = 96,852.38 : x
  2. Step 2: Convert to fraction form
    64,842.75/96,852.38 = 96,852.38/x
  3. Step 3: Cross multiply
    64,842.75x = 96,852.38 × 96,852.38
  4. Step 4: Simplify right side
    64,842.75x = 9,380,382,543.14
  5. Step 5: Solve for x
    x = 9,380,382,543.14/64,842.75
  6. Step 6: Final answer
    x = 144,663.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.