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Finding the Third Proportional to 59,058.49 and 89,071.84

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Solution

The third proportional to 59,058.49 and 89,071.84 is: 134,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,058.49 : 89,071.84 = 89,071.84 : x
  2. Step 2: Convert to fraction form
    59,058.49/89,071.84 = 89,071.84/x
  3. Step 3: Cross multiply
    59,058.49x = 89,071.84 × 89,071.84
  4. Step 4: Simplify right side
    59,058.49x = 7,933,792,653.15
  5. Step 5: Solve for x
    x = 7,933,792,653.15/59,058.49
  6. Step 6: Final answer
    x = 134,337.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.