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Finding the Third Proportional to 32,050 and 68,528

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Solution

The third proportional to 32,050 and 68,528 is: 146,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050 : 68,528 = 68,528 : x
  2. Step 2: Convert to fraction form
    32,050/68,528 = 68,528/x
  3. Step 3: Cross multiply
    32,050x = 68,528 × 68,528
  4. Step 4: Simplify right side
    32,050x = 4,696,086,784
  5. Step 5: Solve for x
    x = 4,696,086,784/32,050
  6. Step 6: Final answer
    x = 146,523.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.