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Finding the Third Proportional to 58,160 and 92,244

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Solution

The third proportional to 58,160 and 92,244 is: 146,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,160 : 92,244 = 92,244 : x
  2. Step 2: Convert to fraction form
    58,160/92,244 = 92,244/x
  3. Step 3: Cross multiply
    58,160x = 92,244 × 92,244
  4. Step 4: Simplify right side
    58,160x = 8,508,955,536
  5. Step 5: Solve for x
    x = 8,508,955,536/58,160
  6. Step 6: Final answer
    x = 146,302.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.