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Finding the Third Proportional to 59,028 and 89,036

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Solution

The third proportional to 59,028 and 89,036 is: 134,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,028 : 89,036 = 89,036 : x
  2. Step 2: Convert to fraction form
    59,028/89,036 = 89,036/x
  3. Step 3: Cross multiply
    59,028x = 89,036 × 89,036
  4. Step 4: Simplify right side
    59,028x = 7,927,409,296
  5. Step 5: Solve for x
    x = 7,927,409,296/59,028
  6. Step 6: Final answer
    x = 134,299.13

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Why These Related Problems?

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