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Finding the Third Proportional to 59,130 and 88,758

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Solution

The third proportional to 59,130 and 88,758 is: 133,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,130 : 88,758 = 88,758 : x
  2. Step 2: Convert to fraction form
    59,130/88,758 = 88,758/x
  3. Step 3: Cross multiply
    59,130x = 88,758 × 88,758
  4. Step 4: Simplify right side
    59,130x = 7,877,982,564
  5. Step 5: Solve for x
    x = 7,877,982,564/59,130
  6. Step 6: Final answer
    x = 133,231.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.