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Finding the Third Proportional to 53,237 and 82,417

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Solution

The third proportional to 53,237 and 82,417 is: 127,591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,237 : 82,417 = 82,417 : x
  2. Step 2: Convert to fraction form
    53,237/82,417 = 82,417/x
  3. Step 3: Cross multiply
    53,237x = 82,417 × 82,417
  4. Step 4: Simplify right side
    53,237x = 6,792,561,889
  5. Step 5: Solve for x
    x = 6,792,561,889/53,237
  6. Step 6: Final answer
    x = 127,591.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.