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Finding the Third Proportional to 44,343 and 102,549.94

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Solution

The third proportional to 44,343 and 102,549.94 is: 237,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,343 : 102,549.94 = 102,549.94 : x
  2. Step 2: Convert to fraction form
    44,343/102,549.94 = 102,549.94/x
  3. Step 3: Cross multiply
    44,343x = 102,549.94 × 102,549.94
  4. Step 4: Simplify right side
    44,343x = 10,516,489,681.25
  5. Step 5: Solve for x
    x = 10,516,489,681.25/44,343
  6. Step 6: Final answer
    x = 237,162.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.