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Finding the Third Proportional to 99,636 and 152,371

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Solution

The third proportional to 99,636 and 152,371 is: 233,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,636 : 152,371 = 152,371 : x
  2. Step 2: Convert to fraction form
    99,636/152,371 = 152,371/x
  3. Step 3: Cross multiply
    99,636x = 152,371 × 152,371
  4. Step 4: Simplify right side
    99,636x = 23,216,921,641
  5. Step 5: Solve for x
    x = 23,216,921,641/99,636
  6. Step 6: Final answer
    x = 233,017.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.