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Finding the Third Proportional to 58,566 and 138,185

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Solution

The third proportional to 58,566 and 138,185 is: 326,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,566 : 138,185 = 138,185 : x
  2. Step 2: Convert to fraction form
    58,566/138,185 = 138,185/x
  3. Step 3: Cross multiply
    58,566x = 138,185 × 138,185
  4. Step 4: Simplify right side
    58,566x = 19,095,094,225
  5. Step 5: Solve for x
    x = 19,095,094,225/58,566
  6. Step 6: Final answer
    x = 326,044.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.