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Finding the Third Proportional to 103,076 and 156,778

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Solution

The third proportional to 103,076 and 156,778 is: 238,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,076 : 156,778 = 156,778 : x
  2. Step 2: Convert to fraction form
    103,076/156,778 = 156,778/x
  3. Step 3: Cross multiply
    103,076x = 156,778 × 156,778
  4. Step 4: Simplify right side
    103,076x = 24,579,341,284
  5. Step 5: Solve for x
    x = 24,579,341,284/103,076
  6. Step 6: Final answer
    x = 238,458.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.