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Finding the Third Proportional to 99,416 and 150,572

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Solution

The third proportional to 99,416 and 150,572 is: 228,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,416 : 150,572 = 150,572 : x
  2. Step 2: Convert to fraction form
    99,416/150,572 = 150,572/x
  3. Step 3: Cross multiply
    99,416x = 150,572 × 150,572
  4. Step 4: Simplify right side
    99,416x = 22,671,927,184
  5. Step 5: Solve for x
    x = 22,671,927,184/99,416
  6. Step 6: Final answer
    x = 228,051.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.