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Finding the Third Proportional to 136,528 and 206,700

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Solution

The third proportional to 136,528 and 206,700 is: 312,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,528 : 206,700 = 206,700 : x
  2. Step 2: Convert to fraction form
    136,528/206,700 = 206,700/x
  3. Step 3: Cross multiply
    136,528x = 206,700 × 206,700
  4. Step 4: Simplify right side
    136,528x = 42,724,890,000
  5. Step 5: Solve for x
    x = 42,724,890,000/136,528
  6. Step 6: Final answer
    x = 312,938.66

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