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Finding the Third Proportional to 58,491 and 87,346

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Solution

The third proportional to 58,491 and 87,346 is: 130,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,491 : 87,346 = 87,346 : x
  2. Step 2: Convert to fraction form
    58,491/87,346 = 87,346/x
  3. Step 3: Cross multiply
    58,491x = 87,346 × 87,346
  4. Step 4: Simplify right side
    58,491x = 7,629,323,716
  5. Step 5: Solve for x
    x = 7,629,323,716/58,491
  6. Step 6: Final answer
    x = 130,435.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.