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Finding the Third Proportional to 132,100.88 and 176,962.22

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Solution

The third proportional to 132,100.88 and 176,962.22 is: 237,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,100.88 : 176,962.22 = 176,962.22 : x
  2. Step 2: Convert to fraction form
    132,100.88/176,962.22 = 176,962.22/x
  3. Step 3: Cross multiply
    132,100.88x = 176,962.22 × 176,962.22
  4. Step 4: Simplify right side
    132,100.88x = 31,315,626,864.92
  5. Step 5: Solve for x
    x = 31,315,626,864.92/132,100.88
  6. Step 6: Final answer
    x = 237,058.44

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.