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Finding the Third Proportional to 118,148.63 and 179,407.41

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Solution

The third proportional to 118,148.63 and 179,407.41 is: 272,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,148.63 : 179,407.41 = 179,407.41 : x
  2. Step 2: Convert to fraction form
    118,148.63/179,407.41 = 179,407.41/x
  3. Step 3: Cross multiply
    118,148.63x = 179,407.41 × 179,407.41
  4. Step 4: Simplify right side
    118,148.63x = 32,187,017,417.35
  5. Step 5: Solve for x
    x = 32,187,017,417.35/118,148.63
  6. Step 6: Final answer
    x = 272,428.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.