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Finding the Third Proportional to 91,358 and 185,236

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Solution

The third proportional to 91,358 and 185,236 is: 375,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,358 : 185,236 = 185,236 : x
  2. Step 2: Convert to fraction form
    91,358/185,236 = 185,236/x
  3. Step 3: Cross multiply
    91,358x = 185,236 × 185,236
  4. Step 4: Simplify right side
    91,358x = 34,312,375,696
  5. Step 5: Solve for x
    x = 34,312,375,696/91,358
  6. Step 6: Final answer
    x = 375,581.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.