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Finding the Third Proportional to 99,612 and 157,804

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Solution

The third proportional to 99,612 and 157,804 is: 249,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,612 : 157,804 = 157,804 : x
  2. Step 2: Convert to fraction form
    99,612/157,804 = 157,804/x
  3. Step 3: Cross multiply
    99,612x = 157,804 × 157,804
  4. Step 4: Simplify right side
    99,612x = 24,902,102,416
  5. Step 5: Solve for x
    x = 24,902,102,416/99,612
  6. Step 6: Final answer
    x = 249,990.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.