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Finding the Third Proportional to 56,434 and 86,460

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Solution

The third proportional to 56,434 and 86,460 is: 132,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,434 : 86,460 = 86,460 : x
  2. Step 2: Convert to fraction form
    56,434/86,460 = 86,460/x
  3. Step 3: Cross multiply
    56,434x = 86,460 × 86,460
  4. Step 4: Simplify right side
    56,434x = 7,475,331,600
  5. Step 5: Solve for x
    x = 7,475,331,600/56,434
  6. Step 6: Final answer
    x = 132,461.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.