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Finding the Third Proportional to 42,132 and 97,290

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Solution

The third proportional to 42,132 and 97,290 is: 224,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,132 : 97,290 = 97,290 : x
  2. Step 2: Convert to fraction form
    42,132/97,290 = 97,290/x
  3. Step 3: Cross multiply
    42,132x = 97,290 × 97,290
  4. Step 4: Simplify right side
    42,132x = 9,465,344,100
  5. Step 5: Solve for x
    x = 9,465,344,100/42,132
  6. Step 6: Final answer
    x = 224,659.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.