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Finding the Third Proportional to 79,040 and 140,537

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Solution

The third proportional to 79,040 and 140,537 is: 249,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,040 : 140,537 = 140,537 : x
  2. Step 2: Convert to fraction form
    79,040/140,537 = 140,537/x
  3. Step 3: Cross multiply
    79,040x = 140,537 × 140,537
  4. Step 4: Simplify right side
    79,040x = 19,750,648,369
  5. Step 5: Solve for x
    x = 19,750,648,369/79,040
  6. Step 6: Final answer
    x = 249,881.68

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.