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Finding the Third Proportional to 59,902 and 93,961

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Solution

The third proportional to 59,902 and 93,961 is: 147,385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,902 : 93,961 = 93,961 : x
  2. Step 2: Convert to fraction form
    59,902/93,961 = 93,961/x
  3. Step 3: Cross multiply
    59,902x = 93,961 × 93,961
  4. Step 4: Simplify right side
    59,902x = 8,828,669,521
  5. Step 5: Solve for x
    x = 8,828,669,521/59,902
  6. Step 6: Final answer
    x = 147,385.22

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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.