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Finding the Third Proportional to 99,052 and 148,602

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Solution

The third proportional to 99,052 and 148,602 is: 222,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,052 : 148,602 = 148,602 : x
  2. Step 2: Convert to fraction form
    99,052/148,602 = 148,602/x
  3. Step 3: Cross multiply
    99,052x = 148,602 × 148,602
  4. Step 4: Simplify right side
    99,052x = 22,082,554,404
  5. Step 5: Solve for x
    x = 22,082,554,404/99,052
  6. Step 6: Final answer
    x = 222,939.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.