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Finding the Third Proportional to 59,234 and 93,778

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Solution

The third proportional to 59,234 and 93,778 is: 148,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,234 : 93,778 = 93,778 : x
  2. Step 2: Convert to fraction form
    59,234/93,778 = 93,778/x
  3. Step 3: Cross multiply
    59,234x = 93,778 × 93,778
  4. Step 4: Simplify right side
    59,234x = 8,794,313,284
  5. Step 5: Solve for x
    x = 8,794,313,284/59,234
  6. Step 6: Final answer
    x = 148,467.32

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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.