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Finding the Third Proportional to 58,922 and 87,240

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Solution

The third proportional to 58,922 and 87,240 is: 129,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,922 : 87,240 = 87,240 : x
  2. Step 2: Convert to fraction form
    58,922/87,240 = 87,240/x
  3. Step 3: Cross multiply
    58,922x = 87,240 × 87,240
  4. Step 4: Simplify right side
    58,922x = 7,610,817,600
  5. Step 5: Solve for x
    x = 7,610,817,600/58,922
  6. Step 6: Final answer
    x = 129,167.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.