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Finding the Third Proportional to 58,246 and 92,374

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Solution

The third proportional to 58,246 and 92,374 is: 146,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,246 : 92,374 = 92,374 : x
  2. Step 2: Convert to fraction form
    58,246/92,374 = 92,374/x
  3. Step 3: Cross multiply
    58,246x = 92,374 × 92,374
  4. Step 4: Simplify right side
    58,246x = 8,532,955,876
  5. Step 5: Solve for x
    x = 8,532,955,876/58,246
  6. Step 6: Final answer
    x = 146,498.57

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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.