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Finding the Third Proportional to 58,056 and 89,353

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Solution

The third proportional to 58,056 and 89,353 is: 137,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,056 : 89,353 = 89,353 : x
  2. Step 2: Convert to fraction form
    58,056/89,353 = 89,353/x
  3. Step 3: Cross multiply
    58,056x = 89,353 × 89,353
  4. Step 4: Simplify right side
    58,056x = 7,983,958,609
  5. Step 5: Solve for x
    x = 7,983,958,609/58,056
  6. Step 6: Final answer
    x = 137,521.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.