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Finding the Third Proportional to 99,004 and 162,529.50

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Solution

The third proportional to 99,004 and 162,529.50 is: 266,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,004 : 162,529.50 = 162,529.50 : x
  2. Step 2: Convert to fraction form
    99,004/162,529.50 = 162,529.50/x
  3. Step 3: Cross multiply
    99,004x = 162,529.50 × 162,529.50
  4. Step 4: Simplify right side
    99,004x = 26,415,838,370.25
  5. Step 5: Solve for x
    x = 26,415,838,370.25/99,004
  6. Step 6: Final answer
    x = 266,815.87

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.