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Finding the Third Proportional to 58,196 and 92,982

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Solution

The third proportional to 58,196 and 92,982 is: 148,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,196 : 92,982 = 92,982 : x
  2. Step 2: Convert to fraction form
    58,196/92,982 = 92,982/x
  3. Step 3: Cross multiply
    58,196x = 92,982 × 92,982
  4. Step 4: Simplify right side
    58,196x = 8,645,652,324
  5. Step 5: Solve for x
    x = 8,645,652,324/58,196
  6. Step 6: Final answer
    x = 148,560.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.