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Finding the Third Proportional to 37,358 and 81,700

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Solution

The third proportional to 37,358 and 81,700 is: 178,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,358 : 81,700 = 81,700 : x
  2. Step 2: Convert to fraction form
    37,358/81,700 = 81,700/x
  3. Step 3: Cross multiply
    37,358x = 81,700 × 81,700
  4. Step 4: Simplify right side
    37,358x = 6,674,890,000
  5. Step 5: Solve for x
    x = 6,674,890,000/37,358
  6. Step 6: Final answer
    x = 178,673.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.