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Finding the Third Proportional to 101,184.19 and 152,037

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Solution

The third proportional to 101,184.19 and 152,037 is: 228,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,184.19 : 152,037 = 152,037 : x
  2. Step 2: Convert to fraction form
    101,184.19/152,037 = 152,037/x
  3. Step 3: Cross multiply
    101,184.19x = 152,037 × 152,037
  4. Step 4: Simplify right side
    101,184.19x = 23,115,249,369
  5. Step 5: Solve for x
    x = 23,115,249,369/101,184.19
  6. Step 6: Final answer
    x = 228,447.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.