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Finding the Third Proportional to 64,742 and 93,020

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Solution

The third proportional to 64,742 and 93,020 is: 133,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,742 : 93,020 = 93,020 : x
  2. Step 2: Convert to fraction form
    64,742/93,020 = 93,020/x
  3. Step 3: Cross multiply
    64,742x = 93,020 × 93,020
  4. Step 4: Simplify right side
    64,742x = 8,652,720,400
  5. Step 5: Solve for x
    x = 8,652,720,400/64,742
  6. Step 6: Final answer
    x = 133,649.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.