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Finding the Third Proportional to 61,433 and 130,158

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Solution

The third proportional to 61,433 and 130,158 is: 275,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,433 : 130,158 = 130,158 : x
  2. Step 2: Convert to fraction form
    61,433/130,158 = 130,158/x
  3. Step 3: Cross multiply
    61,433x = 130,158 × 130,158
  4. Step 4: Simplify right side
    61,433x = 16,941,104,964
  5. Step 5: Solve for x
    x = 16,941,104,964/61,433
  6. Step 6: Final answer
    x = 275,765.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.