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Finding the Third Proportional to 113,312 and 172,700

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Solution

The third proportional to 113,312 and 172,700 is: 263,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,312 : 172,700 = 172,700 : x
  2. Step 2: Convert to fraction form
    113,312/172,700 = 172,700/x
  3. Step 3: Cross multiply
    113,312x = 172,700 × 172,700
  4. Step 4: Simplify right side
    113,312x = 29,825,290,000
  5. Step 5: Solve for x
    x = 29,825,290,000/113,312
  6. Step 6: Final answer
    x = 263,213.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.