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Finding the Third Proportional to 74,048.34 and 111,726.84

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Solution

The third proportional to 74,048.34 and 111,726.84 is: 168,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,048.34 : 111,726.84 = 111,726.84 : x
  2. Step 2: Convert to fraction form
    74,048.34/111,726.84 = 111,726.84/x
  3. Step 3: Cross multiply
    74,048.34x = 111,726.84 × 111,726.84
  4. Step 4: Simplify right side
    74,048.34x = 12,482,887,614.34
  5. Step 5: Solve for x
    x = 12,482,887,614.34/74,048.34
  6. Step 6: Final answer
    x = 168,577.54

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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.