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Finding the Third Proportional to 53,215 and 83,495

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Solution

The third proportional to 53,215 and 83,495 is: 131,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,215 : 83,495 = 83,495 : x
  2. Step 2: Convert to fraction form
    53,215/83,495 = 83,495/x
  3. Step 3: Cross multiply
    53,215x = 83,495 × 83,495
  4. Step 4: Simplify right side
    53,215x = 6,971,415,025
  5. Step 5: Solve for x
    x = 6,971,415,025/53,215
  6. Step 6: Final answer
    x = 131,004.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.