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Finding the Third Proportional to 103,642 and 160,044

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Solution

The third proportional to 103,642 and 160,044 is: 247,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,642 : 160,044 = 160,044 : x
  2. Step 2: Convert to fraction form
    103,642/160,044 = 160,044/x
  3. Step 3: Cross multiply
    103,642x = 160,044 × 160,044
  4. Step 4: Simplify right side
    103,642x = 25,614,081,936
  5. Step 5: Solve for x
    x = 25,614,081,936/103,642
  6. Step 6: Final answer
    x = 247,139.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.