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Finding the Third Proportional to 45,742 and 67,128

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Solution

The third proportional to 45,742 and 67,128 is: 98,512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,742 : 67,128 = 67,128 : x
  2. Step 2: Convert to fraction form
    45,742/67,128 = 67,128/x
  3. Step 3: Cross multiply
    45,742x = 67,128 × 67,128
  4. Step 4: Simplify right side
    45,742x = 4,506,168,384
  5. Step 5: Solve for x
    x = 4,506,168,384/45,742
  6. Step 6: Final answer
    x = 98,512.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.