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Finding the Third Proportional to 73,432 and 116,709

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Solution

The third proportional to 73,432 and 116,709 is: 185,491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,432 : 116,709 = 116,709 : x
  2. Step 2: Convert to fraction form
    73,432/116,709 = 116,709/x
  3. Step 3: Cross multiply
    73,432x = 116,709 × 116,709
  4. Step 4: Simplify right side
    73,432x = 13,620,990,681
  5. Step 5: Solve for x
    x = 13,620,990,681/73,432
  6. Step 6: Final answer
    x = 185,491.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.