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Finding the Third Proportional to 61,764.19 and 102,225.38

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Solution

The third proportional to 61,764.19 and 102,225.38 is: 169,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,764.19 : 102,225.38 = 102,225.38 : x
  2. Step 2: Convert to fraction form
    61,764.19/102,225.38 = 102,225.38/x
  3. Step 3: Cross multiply
    61,764.19x = 102,225.38 × 102,225.38
  4. Step 4: Simplify right side
    61,764.19x = 10,450,027,293.89
  5. Step 5: Solve for x
    x = 10,450,027,293.89/61,764.19
  6. Step 6: Final answer
    x = 169,192.34

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.