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Finding the Third Proportional to 57,348 and 86,076

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Solution

The third proportional to 57,348 and 86,076 is: 129,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,348 : 86,076 = 86,076 : x
  2. Step 2: Convert to fraction form
    57,348/86,076 = 86,076/x
  3. Step 3: Cross multiply
    57,348x = 86,076 × 86,076
  4. Step 4: Simplify right side
    57,348x = 7,409,077,776
  5. Step 5: Solve for x
    x = 7,409,077,776/57,348
  6. Step 6: Final answer
    x = 129,195.05

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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.