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Finding the Third Proportional to 59,476 and 132,072

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Solution

The third proportional to 59,476 and 132,072 is: 293,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,476 : 132,072 = 132,072 : x
  2. Step 2: Convert to fraction form
    59,476/132,072 = 132,072/x
  3. Step 3: Cross multiply
    59,476x = 132,072 × 132,072
  4. Step 4: Simplify right side
    59,476x = 17,443,013,184
  5. Step 5: Solve for x
    x = 17,443,013,184/59,476
  6. Step 6: Final answer
    x = 293,278.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.