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Finding the Third Proportional to 100,046 and 140,709

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Solution

The third proportional to 100,046 and 140,709 is: 197,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,046 : 140,709 = 140,709 : x
  2. Step 2: Convert to fraction form
    100,046/140,709 = 140,709/x
  3. Step 3: Cross multiply
    100,046x = 140,709 × 140,709
  4. Step 4: Simplify right side
    100,046x = 19,799,022,681
  5. Step 5: Solve for x
    x = 19,799,022,681/100,046
  6. Step 6: Final answer
    x = 197,899.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.