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Finding the Third Proportional to 99,370 and 147,704

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Solution

The third proportional to 99,370 and 147,704 is: 219,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,370 : 147,704 = 147,704 : x
  2. Step 2: Convert to fraction form
    99,370/147,704 = 147,704/x
  3. Step 3: Cross multiply
    99,370x = 147,704 × 147,704
  4. Step 4: Simplify right side
    99,370x = 21,816,471,616
  5. Step 5: Solve for x
    x = 21,816,471,616/99,370
  6. Step 6: Final answer
    x = 219,547.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.