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Finding the Third Proportional to 53,122 and 77,768

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Solution

The third proportional to 53,122 and 77,768 is: 113,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,122 : 77,768 = 77,768 : x
  2. Step 2: Convert to fraction form
    53,122/77,768 = 77,768/x
  3. Step 3: Cross multiply
    53,122x = 77,768 × 77,768
  4. Step 4: Simplify right side
    53,122x = 6,047,861,824
  5. Step 5: Solve for x
    x = 6,047,861,824/53,122
  6. Step 6: Final answer
    x = 113,848.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.