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Finding the Third Proportional to 99,003 and 162,528

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Solution

The third proportional to 99,003 and 162,528 is: 266,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,003 : 162,528 = 162,528 : x
  2. Step 2: Convert to fraction form
    99,003/162,528 = 162,528/x
  3. Step 3: Cross multiply
    99,003x = 162,528 × 162,528
  4. Step 4: Simplify right side
    99,003x = 26,415,350,784
  5. Step 5: Solve for x
    x = 26,415,350,784/99,003
  6. Step 6: Final answer
    x = 266,813.64

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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.