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Finding the Third Proportional to 58,154 and 87,303

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Solution

The third proportional to 58,154 and 87,303 is: 131,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,154 : 87,303 = 87,303 : x
  2. Step 2: Convert to fraction form
    58,154/87,303 = 87,303/x
  3. Step 3: Cross multiply
    58,154x = 87,303 × 87,303
  4. Step 4: Simplify right side
    58,154x = 7,621,813,809
  5. Step 5: Solve for x
    x = 7,621,813,809/58,154
  6. Step 6: Final answer
    x = 131,062.59

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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.