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Finding the Third Proportional to 75,339 and 103,304.25

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Solution

The third proportional to 75,339 and 103,304.25 is: 141,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,339 : 103,304.25 = 103,304.25 : x
  2. Step 2: Convert to fraction form
    75,339/103,304.25 = 103,304.25/x
  3. Step 3: Cross multiply
    75,339x = 103,304.25 × 103,304.25
  4. Step 4: Simplify right side
    75,339x = 10,671,768,068.06
  5. Step 5: Solve for x
    x = 10,671,768,068.06/75,339
  6. Step 6: Final answer
    x = 141,649.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.