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Finding the Third Proportional to 59,804 and 95,178

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Solution

The third proportional to 59,804 and 95,178 is: 151,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,804 : 95,178 = 95,178 : x
  2. Step 2: Convert to fraction form
    59,804/95,178 = 95,178/x
  3. Step 3: Cross multiply
    59,804x = 95,178 × 95,178
  4. Step 4: Simplify right side
    59,804x = 9,058,851,684
  5. Step 5: Solve for x
    x = 9,058,851,684/59,804
  6. Step 6: Final answer
    x = 151,475.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.