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Finding the Third Proportional to 92,374 and 135,271

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Solution

The third proportional to 92,374 and 135,271 is: 198,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,374 : 135,271 = 135,271 : x
  2. Step 2: Convert to fraction form
    92,374/135,271 = 135,271/x
  3. Step 3: Cross multiply
    92,374x = 135,271 × 135,271
  4. Step 4: Simplify right side
    92,374x = 18,298,243,441
  5. Step 5: Solve for x
    x = 18,298,243,441/92,374
  6. Step 6: Final answer
    x = 198,088.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.