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Finding the Third Proportional to 88,752 and 191,037

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Solution

The third proportional to 88,752 and 191,037 is: 411,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,752 : 191,037 = 191,037 : x
  2. Step 2: Convert to fraction form
    88,752/191,037 = 191,037/x
  3. Step 3: Cross multiply
    88,752x = 191,037 × 191,037
  4. Step 4: Simplify right side
    88,752x = 36,495,135,369
  5. Step 5: Solve for x
    x = 36,495,135,369/88,752
  6. Step 6: Final answer
    x = 411,203.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.