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Finding the Third Proportional to 103,347 and 158,076

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Solution

The third proportional to 103,347 and 158,076 is: 241,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,347 : 158,076 = 158,076 : x
  2. Step 2: Convert to fraction form
    103,347/158,076 = 158,076/x
  3. Step 3: Cross multiply
    103,347x = 158,076 × 158,076
  4. Step 4: Simplify right side
    103,347x = 24,988,021,776
  5. Step 5: Solve for x
    x = 24,988,021,776/103,347
  6. Step 6: Final answer
    x = 241,787.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.