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Finding the Third Proportional to 74,058.47 and 162,180.56

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Solution

The third proportional to 74,058.47 and 162,180.56 is: 355,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,058.47 : 162,180.56 = 162,180.56 : x
  2. Step 2: Convert to fraction form
    74,058.47/162,180.56 = 162,180.56/x
  3. Step 3: Cross multiply
    74,058.47x = 162,180.56 × 162,180.56
  4. Step 4: Simplify right side
    74,058.47x = 26,302,534,852.82
  5. Step 5: Solve for x
    x = 26,302,534,852.82/74,058.47
  6. Step 6: Final answer
    x = 355,159.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.