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Finding the Third Proportional to 120,354.19 and 185,721.19

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Solution

The third proportional to 120,354.19 and 185,721.19 is: 286,590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,354.19 : 185,721.19 = 185,721.19 : x
  2. Step 2: Convert to fraction form
    120,354.19/185,721.19 = 185,721.19/x
  3. Step 3: Cross multiply
    120,354.19x = 185,721.19 × 185,721.19
  4. Step 4: Simplify right side
    120,354.19x = 34,492,359,486.41
  5. Step 5: Solve for x
    x = 34,492,359,486.41/120,354.19
  6. Step 6: Final answer
    x = 286,590.44

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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.