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Finding the Third Proportional to 59,904 and 93,964

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Solution

The third proportional to 59,904 and 93,964 is: 147,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,904 : 93,964 = 93,964 : x
  2. Step 2: Convert to fraction form
    59,904/93,964 = 93,964/x
  3. Step 3: Cross multiply
    59,904x = 93,964 × 93,964
  4. Step 4: Simplify right side
    59,904x = 8,829,233,296
  5. Step 5: Solve for x
    x = 8,829,233,296/59,904
  6. Step 6: Final answer
    x = 147,389.71

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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.