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Finding the Third Proportional to 58,359 and 92,642

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Solution

The third proportional to 58,359 and 92,642 is: 147,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,359 : 92,642 = 92,642 : x
  2. Step 2: Convert to fraction form
    58,359/92,642 = 92,642/x
  3. Step 3: Cross multiply
    58,359x = 92,642 × 92,642
  4. Step 4: Simplify right side
    58,359x = 8,582,540,164
  5. Step 5: Solve for x
    x = 8,582,540,164/58,359
  6. Step 6: Final answer
    x = 147,064.55

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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.