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Finding the Third Proportional to 60,496 and 93,462

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Solution

The third proportional to 60,496 and 93,462 is: 144,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,496 : 93,462 = 93,462 : x
  2. Step 2: Convert to fraction form
    60,496/93,462 = 93,462/x
  3. Step 3: Cross multiply
    60,496x = 93,462 × 93,462
  4. Step 4: Simplify right side
    60,496x = 8,735,145,444
  5. Step 5: Solve for x
    x = 8,735,145,444/60,496
  6. Step 6: Final answer
    x = 144,392.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.