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Finding the Third Proportional to 59,906 and 93,967

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Solution

The third proportional to 59,906 and 93,967 is: 147,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,906 : 93,967 = 93,967 : x
  2. Step 2: Convert to fraction form
    59,906/93,967 = 93,967/x
  3. Step 3: Cross multiply
    59,906x = 93,967 × 93,967
  4. Step 4: Simplify right side
    59,906x = 8,829,797,089
  5. Step 5: Solve for x
    x = 8,829,797,089/59,906
  6. Step 6: Final answer
    x = 147,394.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.