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Finding the Third Proportional to 53,076 and 82,842

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Solution

The third proportional to 53,076 and 82,842 is: 129,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,076 : 82,842 = 82,842 : x
  2. Step 2: Convert to fraction form
    53,076/82,842 = 82,842/x
  3. Step 3: Cross multiply
    53,076x = 82,842 × 82,842
  4. Step 4: Simplify right side
    53,076x = 6,862,796,964
  5. Step 5: Solve for x
    x = 6,862,796,964/53,076
  6. Step 6: Final answer
    x = 129,301.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.