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Finding the Third Proportional to 45,507 and 97,338

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Solution

The third proportional to 45,507 and 97,338 is: 208,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,507 : 97,338 = 97,338 : x
  2. Step 2: Convert to fraction form
    45,507/97,338 = 97,338/x
  3. Step 3: Cross multiply
    45,507x = 97,338 × 97,338
  4. Step 4: Simplify right side
    45,507x = 9,474,686,244
  5. Step 5: Solve for x
    x = 9,474,686,244/45,507
  6. Step 6: Final answer
    x = 208,202.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.