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Finding the Third Proportional to 60,346 and 91,491

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Solution

The third proportional to 60,346 and 91,491 is: 138,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,346 : 91,491 = 91,491 : x
  2. Step 2: Convert to fraction form
    60,346/91,491 = 91,491/x
  3. Step 3: Cross multiply
    60,346x = 91,491 × 91,491
  4. Step 4: Simplify right side
    60,346x = 8,370,603,081
  5. Step 5: Solve for x
    x = 8,370,603,081/60,346
  6. Step 6: Final answer
    x = 138,710.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.