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Finding the Third Proportional to 59,229 and 93,771

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Solution

The third proportional to 59,229 and 93,771 is: 148,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,229 : 93,771 = 93,771 : x
  2. Step 2: Convert to fraction form
    59,229/93,771 = 93,771/x
  3. Step 3: Cross multiply
    59,229x = 93,771 × 93,771
  4. Step 4: Simplify right side
    59,229x = 8,793,000,441
  5. Step 5: Solve for x
    x = 8,793,000,441/59,229
  6. Step 6: Final answer
    x = 148,457.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.