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Finding the Third Proportional to 61,158 and 92,353

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Solution

The third proportional to 61,158 and 92,353 is: 139,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,158 : 92,353 = 92,353 : x
  2. Step 2: Convert to fraction form
    61,158/92,353 = 92,353/x
  3. Step 3: Cross multiply
    61,158x = 92,353 × 92,353
  4. Step 4: Simplify right side
    61,158x = 8,529,076,609
  5. Step 5: Solve for x
    x = 8,529,076,609/61,158
  6. Step 6: Final answer
    x = 139,459.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.