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Finding the Third Proportional to 119,796 and 185,460

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Solution

The third proportional to 119,796 and 185,460 is: 287,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,796 : 185,460 = 185,460 : x
  2. Step 2: Convert to fraction form
    119,796/185,460 = 185,460/x
  3. Step 3: Cross multiply
    119,796x = 185,460 × 185,460
  4. Step 4: Simplify right side
    119,796x = 34,395,411,600
  5. Step 5: Solve for x
    x = 34,395,411,600/119,796
  6. Step 6: Final answer
    x = 287,116.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.