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Finding the Third Proportional to 63,152 and 89,768

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Solution

The third proportional to 63,152 and 89,768 is: 127,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,152 : 89,768 = 89,768 : x
  2. Step 2: Convert to fraction form
    63,152/89,768 = 89,768/x
  3. Step 3: Cross multiply
    63,152x = 89,768 × 89,768
  4. Step 4: Simplify right side
    63,152x = 8,058,293,824
  5. Step 5: Solve for x
    x = 8,058,293,824/63,152
  6. Step 6: Final answer
    x = 127,601.56

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.