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Finding the Third Proportional to 69,360 and 104,528

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Solution

The third proportional to 69,360 and 104,528 is: 157,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,360 : 104,528 = 104,528 : x
  2. Step 2: Convert to fraction form
    69,360/104,528 = 104,528/x
  3. Step 3: Cross multiply
    69,360x = 104,528 × 104,528
  4. Step 4: Simplify right side
    69,360x = 10,926,102,784
  5. Step 5: Solve for x
    x = 10,926,102,784/69,360
  6. Step 6: Final answer
    x = 157,527.43

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Why These Related Problems?

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