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Finding the Third Proportional to 133,076 and 205,122

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Solution

The third proportional to 133,076 and 205,122 is: 316,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,076 : 205,122 = 205,122 : x
  2. Step 2: Convert to fraction form
    133,076/205,122 = 205,122/x
  3. Step 3: Cross multiply
    133,076x = 205,122 × 205,122
  4. Step 4: Simplify right side
    133,076x = 42,075,034,884
  5. Step 5: Solve for x
    x = 42,075,034,884/133,076
  6. Step 6: Final answer
    x = 316,172.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.